Atkin-Lehner |
2+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87400c |
Isogeny class |
Conductor |
87400 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
657889599904000000 = 211 · 56 · 197 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 3 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1113608,-451005712] |
[a1,a2,a3,a4,a6] |
j |
4772777079094274/20559049997 |
j-invariant |
L |
1.0290275950157 |
L(r)(E,1)/r! |
Ω |
0.14700394480679 |
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 |
3496h1 |
Quadratic twists by: 5 |