Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600bg |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
4269869500000000 = 28 · 59 · 135 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 4 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-178508,28918012] |
[a1,a2,a3,a4,a6] |
Generators |
[357:3250:1] |
Generators of the group modulo torsion |
j |
157267580823376/1067467375 |
j-invariant |
L |
6.9254942156852 |
L(r)(E,1)/r! |
Ω |
0.43990578221415 |
Real period |
R |
0.78715653608465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999726506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29900g1 23920q1 |
Quadratic twists by: -4 5 |