Atkin-Lehner |
2- 5- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119990r |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3544320 |
Modular degree for the optimal curve |
Δ |
-1131189085761718750 = -1 · 2 · 510 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 2 5- -4 5 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-363100,98391067] |
[a1,a2,a3,a4,a6] |
j |
-6490164658081/1386718750 |
j-invariant |
L |
7.8884311543993 |
L(r)(E,1)/r! |
Ω |
0.2629477304108 |
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 |
119990b1 |
Quadratic twists by: 13 |