Atkin-Lehner |
2+ 3+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070b |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
60093547315200000 = 218 · 33 · 55 · 73 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-112560,-8467200] |
[a1,a2,a3,a4,a6] |
j |
5841365368685656347/2225686937600000 |
j-invariant |
L |
1.6148721061976 |
L(r)(E,1)/r! |
Ω |
0.26914535094894 |
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 |
56070s1 |
Quadratic twists by: -3 |