Atkin-Lehner |
2- 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
41748g |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
8015616 = 28 · 32 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,792] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-6:1] [2:22:1] |
Generators of the group modulo torsion |
j |
33685456/639 |
j-invariant |
L |
7.3386953621004 |
L(r)(E,1)/r! |
Ω |
2.3359975660132 |
Real period |
R |
0.52359467812757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244o1 41748k1 |
Quadratic twists by: -3 -7 |