Atkin-Lehner |
3+ 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325r |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-6.9426736795482E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -6 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1328883,-1122579584] |
[a1,a2,a3,a4,a6] |
j |
4921414699502673/13165366384921 |
j-invariant |
L |
1.9885656291841 |
L(r)(E,1)/r! |
Ω |
0.082856901974355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325n1 98325m1 |
Quadratic twists by: -3 5 |