Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488gl |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
24598994112 = 26 · 33 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1584,23598] |
[a1,a2,a3,a4,a6] |
j |
58411072/3267 |
j-invariant |
L |
1.1781343047662 |
L(r)(E,1)/r! |
Ω |
1.1781345077258 |
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 |
103488hv1 51744bm2 2112bb1 |
Quadratic twists by: -4 8 -7 |