Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910bd |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-2059560608071680 = -1 · 220 · 32 · 5 · 77 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,317,2183486] |
[a1,a2,a3,a4,a6] |
j |
30080231/17505976320 |
j-invariant |
L |
2.9488377753456 |
L(r)(E,1)/r! |
Ω |
0.36860472600013 |
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 |
11130b1 |
Quadratic twists by: -7 |