Atkin-Lehner |
2- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26288b |
Isogeny class |
Conductor |
26288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
-1236526928604784 = -1 · 24 · 317 · 532 |
Discriminant |
Eigenvalues |
2- 0 3 1 0 -2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40601,3574583] |
[a1,a2,a3,a4,a6] |
j |
-462608832626848512/77282933037799 |
j-invariant |
L |
3.7385009008179 |
L(r)(E,1)/r! |
Ω |
0.46731261260224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6572e1 105152p1 |
Quadratic twists by: -4 8 |