Atkin-Lehner |
2+ 5+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
77050d |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
2706558156800 = 220 · 52 · 23 · 672 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 -3 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54810,-4961260] |
[a1,a2,a3,a4,a6] |
j |
728409313853938705/108262326272 |
j-invariant |
L |
1.2480944062128 |
L(r)(E,1)/r! |
Ω |
0.3120236017675 |
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 |
77050t1 |
Quadratic twists by: 5 |