Atkin-Lehner |
2- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34100f |
Isogeny class |
Conductor |
34100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-115350752000 = -1 · 28 · 53 · 112 · 313 |
Discriminant |
Eigenvalues |
2- 1 5- 0 11- 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6413,-200497] |
[a1,a2,a3,a4,a6] |
j |
-911643779072/3604711 |
j-invariant |
L |
3.2001996595065 |
L(r)(E,1)/r! |
Ω |
0.26668330496016 |
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 |
34100g1 |
Quadratic twists by: 5 |