Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bs |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
477397582812500 = 22 · 58 · 78 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -5 -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108438,-13713008] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:292:1] |
Generators of the group modulo torsion |
j |
1565539801/5300 |
j-invariant |
L |
5.192314925593 |
L(r)(E,1)/r! |
Ω |
0.26314345025217 |
Real period |
R |
1.6443233073787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970k1 129850ct1 |
Quadratic twists by: 5 -7 |