Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475y |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
115549062890625 = 36 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16130,-591128] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:475:1] |
Generators of the group modulo torsion |
j |
40743095121/10144225 |
j-invariant |
L |
2.9897743371137 |
L(r)(E,1)/r! |
Ω |
0.43136543902118 |
Real period |
R |
0.86636934332809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2275c2 4095g2 |
Quadratic twists by: -3 5 |