Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cs |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
2378156259239202816 = 212 · 310 · 11 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1215194,510541593] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:23481:1] |
Generators of the group modulo torsion |
j |
5786435182177/69341184 |
j-invariant |
L |
10.466815381191 |
L(r)(E,1)/r! |
Ω |
0.25931916069733 |
Real period |
R |
3.3635563712968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23826d1 3762h1 |
Quadratic twists by: -3 -19 |