Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300ba |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40296960 |
Modular degree for the optimal curve |
Δ |
-1.4112190150439E+28 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-438893000,-6722495587500] |
[a1,a2,a3,a4,a6] |
j |
-158943008967155712/239903274153431 |
j-invariant |
L |
0.12522303716564 |
L(r)(E,1)/r! |
Ω |
0.015652881047194 |
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 |
83300bg1 11900d1 |
Quadratic twists by: 5 -7 |