Atkin-Lehner |
2- 3- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
98256o |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4059072 |
Modular degree for the optimal curve |
Δ |
-2.2150267022699E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -5 5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5768784,5335918740] |
[a1,a2,a3,a4,a6] |
j |
-5183423263082018048977/5407780034838528 |
j-invariant |
L |
3.8437160564032 |
L(r)(E,1)/r! |
Ω |
0.21353977822693 |
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 |
12282e1 |
Quadratic twists by: -4 |