Atkin-Lehner |
3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26499b |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69696 |
Modular degree for the optimal curve |
Δ |
-832750169622921 = -1 · 36 · 118 · 732 |
Discriminant |
Eigenvalues |
-1 3+ 1 -2 11- -1 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13615,-1522762] |
[a1,a2,a3,a4,a6] |
Generators |
[292:-4563:1] [1606:14961:8] |
Generators of the group modulo torsion |
j |
-1302078481/3884841 |
j-invariant |
L |
4.6322281387535 |
L(r)(E,1)/r! |
Ω |
0.20432093937847 |
Real period |
R |
1.8892777839462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79497h1 26499c1 |
Quadratic twists by: -3 -11 |