Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310bu |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
2268 |
Product of Tamagawa factors cp |
deg |
2612736 |
Modular degree for the optimal curve |
Δ |
-3.4119821320704E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-233132,8887293231] |
[a1,a2,a3,a4,a6] |
Generators |
[2261:-142251:1] |
Generators of the group modulo torsion |
j |
-1922206784037612409/46803595776000000000 |
j-invariant |
L |
8.9737333635985 |
L(r)(E,1)/r! |
Ω |
0.092941744759477 |
Real period |
R |
0.042571533051647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770e1 116550bk1 |
Quadratic twists by: -3 5 |