Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304bu |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-68303603726548992 = -1 · 224 · 39 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-306435,-66491134] |
[a1,a2,a3,a4,a6] |
Generators |
[1375:45954:1] |
Generators of the group modulo torsion |
j |
-1065740176698625/22874738688 |
j-invariant |
L |
6.6386744872819 |
L(r)(E,1)/r! |
Ω |
0.101328851499 |
Real period |
R |
2.7298388650655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7038d1 18768g1 |
Quadratic twists by: -4 -3 |