Atkin-Lehner |
2+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89528b |
Isogeny class |
Conductor |
89528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
5550736 = 24 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 1 3 -4 0 -5 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:11:1] [11:31:1] |
Generators of the group modulo torsion |
j |
1668352/961 |
j-invariant |
L |
13.289988457831 |
L(r)(E,1)/r! |
Ω |
2.0512597061645 |
Real period |
R |
1.6197349874579 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89528g1 |
Quadratic twists by: -19 |