Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150el |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
166763520 |
Modular degree for the optimal curve |
Δ |
-2.4417733319904E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-737772305,-24994173970303] |
[a1,a2,a3,a4,a6] |
j |
-6238255884831248959825/34298709080358780928 |
j-invariant |
L |
2.2905280836945 |
L(r)(E,1)/r! |
Ω |
0.013014366134021 |
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 |
12350e1 111150ct1 |
Quadratic twists by: -3 5 |