Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330bg |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1512362160693329400 = -1 · 23 · 38 · 52 · 79 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31320,-59198504] |
[a1,a2,a3,a4,a6] |
Generators |
[797:20135:1] |
Generators of the group modulo torsion |
j |
-115501303/51409800 |
j-invariant |
L |
2.6581139648285 |
L(r)(E,1)/r! |
Ω |
0.12042928317811 |
Real period |
R |
2.7589987820034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cb2 57330da2 |
Quadratic twists by: -3 -7 |