Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700z |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-45409993200 = -1 · 24 · 38 · 52 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14925,701885] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-297:1] |
Generators of the group modulo torsion |
j |
-1260895840000/155727 |
j-invariant |
L |
7.2531108689983 |
L(r)(E,1)/r! |
Ω |
1.093523778369 |
Real period |
R |
0.18424409861966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999529401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900d1 128700bx1 |
Quadratic twists by: -3 5 |