Atkin-Lehner |
2- 3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26130v |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
92472606720 = 218 · 34 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 2 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1541,17985] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:199:1] |
Generators of the group modulo torsion |
j |
404714945312209/92472606720 |
j-invariant |
L |
7.8540955134995 |
L(r)(E,1)/r! |
Ω |
1.0085438811641 |
Real period |
R |
0.10816054903214 |
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 |
78390u1 |
Quadratic twists by: -3 |