Atkin-Lehner |
2+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11374b |
Isogeny class |
Conductor |
11374 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-3515258901290549248 = -1 · 218 · 1111 · 47 |
Discriminant |
Eigenvalues |
2+ 0 0 5 11- -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108257,-91215107] |
[a1,a2,a3,a4,a6] |
j |
-79202305058625/1984272007168 |
j-invariant |
L |
1.7335313202584 |
L(r)(E,1)/r! |
Ω |
0.10834570751615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90992u1 102366bl1 1034b1 |
Quadratic twists by: -4 -3 -11 |