Atkin-Lehner |
2- 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
74340a |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
1138071060000000 = 28 · 39 · 57 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -5 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31968,1485108] |
[a1,a2,a3,a4,a6] |
j |
717032521728/225859375 |
j-invariant |
L |
1.8073289058814 |
L(r)(E,1)/r! |
Ω |
0.45183223012406 |
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 |
74340d1 |
Quadratic twists by: -3 |