Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bf |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
61323462643968 = 28 · 37 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-411159,101475178] |
[a1,a2,a3,a4,a6] |
j |
350104249168/2793 |
j-invariant |
L |
4.4761799260982 |
L(r)(E,1)/r! |
Ω |
0.55952249047009 |
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 |
22344bj1 9576g1 |
Quadratic twists by: -3 -7 |