Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622c |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
471744 |
Modular degree for the optimal curve |
Δ |
-1346876653215744 = -1 · 213 · 39 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 1 6 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96000,11608064] |
[a1,a2,a3,a4,a6] |
j |
-42253279587/581632 |
j-invariant |
L |
0.96645149877963 |
L(r)(E,1)/r! |
Ω |
0.48322574499799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622bo1 1278a1 |
Quadratic twists by: -3 -7 |