Atkin-Lehner |
2- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31240f |
Isogeny class |
Conductor |
31240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-10996480 = -1 · 28 · 5 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11- 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52,68] |
[a1,a2,a3,a4,a6] |
Generators |
[1:11:1] |
Generators of the group modulo torsion |
j |
60742656/42955 |
j-invariant |
L |
5.3599785429569 |
L(r)(E,1)/r! |
Ω |
1.4415222765136 |
Real period |
R |
0.92956914892778 |
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 |
62480a1 |
Quadratic twists by: -4 |