Atkin-Lehner |
2- 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350cs |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.0137403145977E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-126150013,-545365237483] |
[a1,a2,a3,a4,a6] |
j |
-22734508407227217504025/1038070082148 |
j-invariant |
L |
2.2524116791705 |
L(r)(E,1)/r! |
Ω |
0.022524114838128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350o1 |
Quadratic twists by: 5 |