Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bt |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-18397336334832 = -1 · 24 · 36 · 72 · 13 · 195 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-563079,-162630673] |
[a1,a2,a3,a4,a6] |
Generators |
[4021:250173:1] |
Generators of the group modulo torsion |
j |
-1692716365696398592/1577275063 |
j-invariant |
L |
8.5404081587511 |
L(r)(E,1)/r! |
Ω |
0.087141935559381 |
Real period |
R |
2.4501430064845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13832e1 |
Quadratic twists by: -3 |