Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622m |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
497093436 = 22 · 36 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6918,223208] |
[a1,a2,a3,a4,a6] |
Generators |
[46:4:1] |
Generators of the group modulo torsion |
j |
20920931073/284 |
j-invariant |
L |
6.4109012770157 |
L(r)(E,1)/r! |
Ω |
1.5092495498132 |
Real period |
R |
1.0619352640598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6958j1 62622bf1 |
Quadratic twists by: -3 -7 |