Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350fs |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
666624 |
Modular degree for the optimal curve |
Δ |
-6193400792276250 = -1 · 2 · 320 · 54 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45670,462147] |
[a1,a2,a3,a4,a6] |
Generators |
[502:14865:8] |
Generators of the group modulo torsion |
j |
23121612385175/13593197898 |
j-invariant |
L |
11.646849693142 |
L(r)(E,1)/r! |
Ω |
0.25757472297645 |
Real period |
R |
3.7681135655186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450x1 91350bf1 |
Quadratic twists by: -3 5 |