Atkin-Lehner |
2+ 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
91630a |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
-78503132015000 = -1 · 23 · 54 · 74 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11- 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4531,410176] |
[a1,a2,a3,a4,a6] |
Generators |
[494:7449:8] |
Generators of the group modulo torsion |
j |
4285993569431/32696015000 |
j-invariant |
L |
4.942919976258 |
L(r)(E,1)/r! |
Ω |
0.44511278267115 |
Real period |
R |
1.8508118114254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000557 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
91630bd1 |
Quadratic twists by: -7 |