Atkin-Lehner |
5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13825c |
Isogeny class |
Conductor |
13825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71808 |
Modular degree for the optimal curve |
Δ |
421905517578125 = 517 · 7 · 79 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -5 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-146783,-21573782] |
[a1,a2,a3,a4,a6] |
j |
22383805528244224/27001953125 |
j-invariant |
L |
0.97571238430586 |
L(r)(E,1)/r! |
Ω |
0.24392809607647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124425l1 2765a1 96775c1 |
Quadratic twists by: -3 5 -7 |