Atkin-Lehner |
2- 3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94962bn |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2239488 |
Modular degree for the optimal curve |
Δ |
-8943152528493987048 = -1 · 23 · 36 · 715 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1021798,422363339] |
[a1,a2,a3,a4,a6] |
j |
-1002837679918908625/76015542235752 |
j-invariant |
L |
2.7244495000018 |
L(r)(E,1)/r! |
Ω |
0.22703746192434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566t1 |
Quadratic twists by: -7 |