Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870ca |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-381016813731840000 = -1 · 220 · 37 · 54 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,72733,28704291] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:2954:1] |
Generators of the group modulo torsion |
j |
58370885971339031/522656808960000 |
j-invariant |
L |
7.5784097431453 |
L(r)(E,1)/r! |
Ω |
0.220460601363 |
Real period |
R |
0.2864612277013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960ep1 4290d1 64350u1 |
Quadratic twists by: -4 -3 5 |