Atkin-Lehner |
2+ 3- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73776c |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-3288417648 = -1 · 24 · 3 · 293 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -1 -7 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,-2829] |
[a1,a2,a3,a4,a6] |
j |
-8788000000/205526103 |
j-invariant |
L |
1.2236760729542 |
L(r)(E,1)/r! |
Ω |
0.6118380504765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36888a1 |
Quadratic twists by: -4 |