Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bf |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-1067176655500032 = -1 · 28 · 315 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11+ -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53508,5016620] |
[a1,a2,a3,a4,a6] |
j |
-37811178496/2381643 |
j-invariant |
L |
3.8697872807866 |
L(r)(E,1)/r! |
Ω |
0.4837234130521 |
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 |
38808ca1 25872b1 77616ca1 |
Quadratic twists by: -4 -3 -7 |