Atkin-Lehner |
2+ 3- 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870n |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
8945664 |
Modular degree for the optimal curve |
Δ |
1.1762110756406E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15611499,17074508805] |
[a1,a2,a3,a4,a6] |
j |
577204909208615224314289/161345826562500000000 |
j-invariant |
L |
2.7382545861983 |
L(r)(E,1)/r! |
Ω |
0.097794805508309 |
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 |
28290u1 |
Quadratic twists by: -3 |