Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680l |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-2229760000 = -1 · 212 · 54 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,157,-2142] |
[a1,a2,a3,a4,a6] |
j |
104487111/544375 |
j-invariant |
L |
1.4679298910479 |
L(r)(E,1)/r! |
Ω |
0.73396494420846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4355a1 |
Quadratic twists by: -4 |