Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700o |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12528 |
Modular degree for the optimal curve |
Δ |
-4076800 = -1 · 28 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 5 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,-92] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
560/13 |
j-invariant |
L |
4.0819451537329 |
L(r)(E,1)/r! |
Ω |
1.1973446984092 |
Real period |
R |
1.1363881983381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700bs1 63700g1 |
Quadratic twists by: 5 -7 |