Atkin-Lehner |
2- 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590cf |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-220109937554880 = -1 · 26 · 316 · 5 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9148,-631641] |
[a1,a2,a3,a4,a6] |
Generators |
[59:303:1] |
Generators of the group modulo torsion |
j |
116149984977671/301934070720 |
j-invariant |
L |
11.238987324169 |
L(r)(E,1)/r! |
Ω |
0.28868478276729 |
Real period |
R |
3.2443077464468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530e1 |
Quadratic twists by: -3 |