Atkin-Lehner |
2- 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130bc |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-3857852244787200 = -1 · 215 · 34 · 52 · 115 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,39104,284129] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-2475:1] [-1:495:1] |
Generators of the group modulo torsion |
j |
18318055426518311/10686571315200 |
j-invariant |
L |
13.766564536219 |
L(r)(E,1)/r! |
Ω |
0.26666853433374 |
Real period |
R |
0.17208085152425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119130o1 |
Quadratic twists by: -19 |