Atkin-Lehner |
3+ 7+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
26691a |
Isogeny class |
Conductor |
26691 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
52320 |
Modular degree for the optimal curve |
Δ |
1552931037693 = 33 · 72 · 315 · 41 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ 0 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5748,-154753] |
[a1,a2,a3,a4,a6] |
Generators |
[-2812:6695:64] |
Generators of the group modulo torsion |
j |
21006299058688000/1552931037693 |
j-invariant |
L |
8.6689909016511 |
L(r)(E,1)/r! |
Ω |
0.55085526114196 |
Real period |
R |
1.5737329772761 |
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 |
80073e1 |
Quadratic twists by: -3 |