Atkin-Lehner |
5+ 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
103075n |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
249634765625 = 59 · 7 · 19 · 312 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8400,291875] |
[a1,a2,a3,a4,a6] |
j |
4195872914689/15976625 |
j-invariant |
L |
1.9807768400257 |
L(r)(E,1)/r! |
Ω |
0.99038856139117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20615b1 |
Quadratic twists by: 5 |