Atkin-Lehner |
5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26015h |
Isogeny class |
Conductor |
26015 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
104743544125 = 53 · 117 · 43 |
Discriminant |
Eigenvalues |
2 -1 5- 4 11- -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1250,7281] |
[a1,a2,a3,a4,a6] |
Generators |
[10:601:8] |
Generators of the group modulo torsion |
j |
122023936/59125 |
j-invariant |
L |
10.357066838886 |
L(r)(E,1)/r! |
Ω |
0.94274402154855 |
Real period |
R |
0.9155071615546 |
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 |
2365d1 |
Quadratic twists by: -11 |