Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70756a |
Isogeny class |
Conductor |
70756 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
301644 |
Modular degree for the optimal curve |
Δ |
4339362269354896 = 24 · 78 · 196 |
Discriminant |
Eigenvalues |
2- -1 3 7+ -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41274,623701] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:911:1] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
6.0740290776145 |
L(r)(E,1)/r! |
Ω |
0.3781395932626 |
Real period |
R |
5.3543093486839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70756f1 196b1 |
Quadratic twists by: -7 -19 |