Atkin-Lehner |
2+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280h |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1406505200 = -1 · 24 · 52 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 2 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,220,-1225] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5:1] |
Generators of the group modulo torsion |
j |
73264941824/87906575 |
j-invariant |
L |
6.6954822375087 |
L(r)(E,1)/r! |
Ω |
0.8147259741895 |
Real period |
R |
2.0545196942351 |
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 |
15640i1 125120cc1 |
Quadratic twists by: -4 8 |