Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800bp |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3173760 |
Modular degree for the optimal curve |
Δ |
-1.9152893322021E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 0 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,237592,-664433808] |
[a1,a2,a3,a4,a6] |
Generators |
[34779836:1332855243:21952] |
Generators of the group modulo torsion |
j |
14484962248019375/1870399738478592 |
j-invariant |
L |
3.9391113946766 |
L(r)(E,1)/r! |
Ω |
0.084817209738832 |
Real period |
R |
11.610590021311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850k1 70800dk1 |
Quadratic twists by: -4 5 |