Atkin-Lehner |
2- 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722y |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-24815464507232 = -1 · 25 · 76 · 193 · 312 |
Discriminant |
Eigenvalues |
2- -3 2 7- 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45849,3797721] |
[a1,a2,a3,a4,a6] |
Generators |
[153:512:1] |
Generators of the group modulo torsion |
j |
-90597496156497/210927968 |
j-invariant |
L |
7.1371736620963 |
L(r)(E,1)/r! |
Ω |
0.67350270620836 |
Real period |
R |
0.35323657433232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1178b1 |
Quadratic twists by: -7 |