Atkin-Lehner |
2+ 3+ 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110b |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8494080 |
Modular degree for the optimal curve |
Δ |
1.630665050625E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 6 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8539500,-7380879664] |
[a1,a2,a3,a4,a6] |
j |
2550687801442702505064027/603950018750000000000 |
j-invariant |
L |
1.4372889887964 |
L(r)(E,1)/r! |
Ω |
0.089830562530117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110br1 |
Quadratic twists by: -3 |