Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350cu |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-243375000 = -1 · 23 · 3 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2113,37217] |
[a1,a2,a3,a4,a6] |
Generators |
[16:79:1] |
Generators of the group modulo torsion |
j |
-66775173193/15576 |
j-invariant |
L |
13.44637977674 |
L(r)(E,1)/r! |
Ω |
1.711446086509 |
Real period |
R |
2.6189119400112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3894c1 |
Quadratic twists by: 5 |