Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792dh |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
368294164955136 = 221 · 35 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -7 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-937889,349289439] |
[a1,a2,a3,a4,a6] |
Generators |
[775:9408:1] |
Generators of the group modulo torsion |
j |
348047549263412713/1404930744 |
j-invariant |
L |
9.2258825331037 |
L(r)(E,1)/r! |
Ω |
0.47191701183176 |
Real period |
R |
0.195497985911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792h1 14448u1 |
Quadratic twists by: -4 8 |