Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530bb |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2404632641529937500 = 22 · 36 · 56 · 116 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76891994,259512961376] |
[a1,a2,a3,a4,a6] |
Generators |
[4971:8767:1] [879:438427:1] |
Generators of the group modulo torsion |
j |
28379906689597370652529/1357352437500 |
j-invariant |
L |
9.6195825399761 |
L(r)(E,1)/r! |
Ω |
0.19282271297612 |
Real period |
R |
0.69289198849663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930n4 |
Quadratic twists by: -11 |