Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530bh |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-10873841418000000 = -1 · 27 · 32 · 56 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1539728,-735528994] |
[a1,a2,a3,a4,a6] |
Generators |
[11670:1247422:1] |
Generators of the group modulo torsion |
j |
-227876330943752401/6138000000 |
j-invariant |
L |
8.3529709072895 |
L(r)(E,1)/r! |
Ω |
0.067765381723455 |
Real period |
R |
5.1359624264211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230be1 |
Quadratic twists by: -11 |