Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224ce |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
5927040 |
Modular degree for the optimal curve |
Δ |
1.7912334600493E+23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15901621,13460887357] |
[a1,a2,a3,a4,a6] |
Generators |
[-2316:194579:1] |
Generators of the group modulo torsion |
j |
108564537417325852524544/43731285645734113581 |
j-invariant |
L |
4.4344737222379 |
L(r)(E,1)/r! |
Ω |
0.091991426289023 |
Real period |
R |
0.45909803537548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389c1 |
Quadratic twists by: -4 |