Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150df |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17971200 |
Modular degree for the optimal curve |
Δ |
-2.8738497008959E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44757117,282512307541] |
[a1,a2,a3,a4,a6] |
j |
-6963898974088537853/20183964977485584 |
j-invariant |
L |
1.4027524544387 |
L(r)(E,1)/r! |
Ω |
0.058448017462851 |
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 |
28050ct1 84150gi1 |
Quadratic twists by: -3 5 |