Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bu |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
325157229476352 = 29 · 33 · 77 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 1 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25744,-1323752] |
[a1,a2,a3,a4,a6] |
j |
129040278536/22235661 |
j-invariant |
L |
1.1440117078833 |
L(r)(E,1)/r! |
Ω |
0.38133732101606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568cu1 113568q1 |
Quadratic twists by: -4 13 |