Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400i |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-717500000000 = -1 · 28 · 510 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -4 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7708,261088] |
[a1,a2,a3,a4,a6] |
Generators |
[39:146:1] |
Generators of the group modulo torsion |
j |
-20261200/287 |
j-invariant |
L |
6.945680062503 |
L(r)(E,1)/r! |
Ω |
0.90545796117152 |
Real period |
R |
3.8354514292584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800i1 57400x1 |
Quadratic twists by: -4 5 |