Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568u |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
23023183869504 = 26 · 32 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7154,-28536] |
[a1,a2,a3,a4,a6] |
j |
131096512/74529 |
j-invariant |
L |
1.121718208953 |
L(r)(E,1)/r! |
Ω |
0.56085925892758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113568co1 8736n1 |
Quadratic twists by: -4 13 |