Atkin-Lehner |
2+ 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
106176i |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-684855585792 = -1 · 210 · 37 · 72 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2179,6573] |
[a1,a2,a3,a4,a6] |
j |
1116853274624/668804283 |
j-invariant |
L |
4.437307900866 |
L(r)(E,1)/r! |
Ω |
0.55466344859013 |
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 |
106176cc1 13272c1 |
Quadratic twists by: -4 8 |