Atkin-Lehner |
2- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31304g |
Isogeny class |
Conductor |
31304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-4006912 = -1 · 210 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 7- -3 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-1092] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:11091:8] |
Generators of the group modulo torsion |
j |
-976562500/3913 |
j-invariant |
L |
7.8879789604243 |
L(r)(E,1)/r! |
Ω |
0.62816787344249 |
Real period |
R |
6.2785596764099 |
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 |
62608b1 |
Quadratic twists by: -4 |