Atkin-Lehner |
3+ 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775m |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18194127134765625 = 310 · 59 · 193 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 6 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-105170700,-415179694125] |
[a1,a2,a3,a4,a6] |
Generators |
[-119724781432299516663726295318600440992788569952106005731098199899437794442386098848345560:59809917016068866491833189017482683993552943391290977587999480264740717162292709416968905:20219158915734268168667355835729193665000088637349745568592080991307317266255028079104] |
Generators of the group modulo torsion |
j |
65868530274867978624149/9315393093 |
j-invariant |
L |
6.1081051349344 |
L(r)(E,1)/r! |
Ω |
0.047143938659479 |
Real period |
R |
129.56289416235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325ca2 32775bf2 |
Quadratic twists by: -3 5 |