Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
91140a |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2268000 |
Modular degree for the optimal curve |
Δ |
-5.1334464089971E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800676,441712440] |
[a1,a2,a3,a4,a6] |
Generators |
[11069:1160888:1] |
Generators of the group modulo torsion |
j |
-38465413171024/34784418465 |
j-invariant |
L |
4.7694076135767 |
L(r)(E,1)/r! |
Ω |
0.18273867091215 |
Real period |
R |
5.2199215298487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91140r1 |
Quadratic twists by: -7 |