Atkin-Lehner |
2- 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46512r |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-297934373781504 = -1 · 218 · 33 · 17 · 195 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -2 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20883,-1427886] |
[a1,a2,a3,a4,a6] |
Generators |
[270:3552:1] |
Generators of the group modulo torsion |
j |
-9107069805387/2693995712 |
j-invariant |
L |
4.1692941943719 |
L(r)(E,1)/r! |
Ω |
0.19559147356161 |
Real period |
R |
5.3290847991037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5814c1 46512n1 |
Quadratic twists by: -4 -3 |