Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530cf |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
276 |
Product of Tamagawa factors cp |
deg |
37094400 |
Modular degree for the optimal curve |
Δ |
-2.0282894274961E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- -7 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7579140,216827752197] |
[a1,a2,a3,a4,a6] |
Generators |
[5517:582881:1] |
Generators of the group modulo torsion |
j |
-27178619446435699801/11449165044252672000 |
j-invariant |
L |
8.3655030593352 |
L(r)(E,1)/r! |
Ω |
0.055445628244387 |
Real period |
R |
0.54665795205262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230k1 |
Quadratic twists by: -11 |