Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960t |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
245568257280 = 28 · 312 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 1 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7068,-227468] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:18:1] |
Generators of the group modulo torsion |
j |
579613696/3645 |
j-invariant |
L |
5.8331883222345 |
L(r)(E,1)/r! |
Ω |
0.52088271237208 |
Real period |
R |
1.3998325012337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998651868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320bh1 129960bx1 |
Quadratic twists by: -3 -19 |