Atkin-Lehner |
2+ 3+ 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830k |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1056768 |
Modular degree for the optimal curve |
Δ |
1062028897445700 = 22 · 39 · 52 · 19 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96189,-11350927] |
[a1,a2,a3,a4,a6] |
j |
5000474173617027/53956657900 |
j-invariant |
L |
1.0850771417505 |
L(r)(E,1)/r! |
Ω |
0.2712695839528 |
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 |
124830bn1 |
Quadratic twists by: -3 |