Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850es |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-304057152000000000 = -1 · 215 · 36 · 59 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-367880,-89795253] |
[a1,a2,a3,a4,a6] |
j |
-483385461758641/26693632000 |
j-invariant |
L |
5.7969987254568 |
L(r)(E,1)/r! |
Ω |
0.096616645499582 |
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 |
6650d1 11970u1 |
Quadratic twists by: -3 5 |