Atkin-Lehner |
3- 5+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
115575i |
Isogeny class |
Conductor |
115575 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
155771136 |
Modular degree for the optimal curve |
Δ |
1.4246406620726E+29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 5 -3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4740446823,124305406458642] |
[a1,a2,a3,a4,a6] |
j |
471239341993078660369256653092505/5698562648290344607583487303 |
j-invariant |
L |
2.2294680771091 |
L(r)(E,1)/r! |
Ω |
0.032786304014694 |
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 |
115575c1 |
Quadratic twists by: 5 |