Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112632v |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3610826938368 = -1 · 211 · 32 · 134 · 193 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -6 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2400,-102816] |
[a1,a2,a3,a4,a6] |
Generators |
[1530:20349:8] |
Generators of the group modulo torsion |
j |
-108879878/257049 |
j-invariant |
L |
3.0458025581317 |
L(r)(E,1)/r! |
Ω |
0.31839257760878 |
Real period |
R |
4.7830928869526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112632d2 |
Quadratic twists by: -19 |