Atkin-Lehner |
2- 3- 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
78210bh |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
712704 |
Modular degree for the optimal curve |
Δ |
46706761728000 = 216 · 38 · 53 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-184073,-30349303] |
[a1,a2,a3,a4,a6] |
j |
946159258109868361/64069632000 |
j-invariant |
L |
3.6878561144064 |
L(r)(E,1)/r! |
Ω |
0.2304910046952 |
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 |
26070q1 |
Quadratic twists by: -3 |