Atkin-Lehner |
2+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26488b |
Isogeny class |
Conductor |
26488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
717930752 = 28 · 72 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19068,-1019840] |
[a1,a2,a3,a4,a6] |
j |
2995173278242000/2804417 |
j-invariant |
L |
1.2188286379837 |
L(r)(E,1)/r! |
Ω |
0.40627621266135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52976h1 |
Quadratic twists by: -4 |