Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304c |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14292039168 = 29 · 36 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-648,2916] |
[a1,a2,a3,a4,a6] |
Generators |
[0:54:1] [648:16470:1] |
Generators of the group modulo torsion |
j |
58863869000/27914139 |
j-invariant |
L |
8.6735284912638 |
L(r)(E,1)/r! |
Ω |
1.1161330546063 |
Real period |
R |
3.8855262172668 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304x2 124608bj2 |
Quadratic twists by: -4 8 |