Atkin-Lehner |
2- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
3002b |
Isogeny class |
Conductor |
3002 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
443687113216217536 = 26 · 192 · 797 |
Discriminant |
Eigenvalues |
2- -1 3 3 2 -1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2089899,1161570649] |
[a1,a2,a3,a4,a6] |
j |
1009484417725464100086577/443687113216217536 |
j-invariant |
L |
3.5102723721984 |
L(r)(E,1)/r! |
Ω |
0.2925226976832 |
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 |
24016k1 96064g1 27018c1 75050a1 |
Quadratic twists by: -4 8 -3 5 |