Atkin-Lehner |
2- 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900t |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
330048 |
Modular degree for the optimal curve |
Δ |
-22632480000 = -1 · 28 · 33 · 54 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107108,13527912] |
[a1,a2,a3,a4,a6] |
Generators |
[178:266:1] [186:78:1] |
Generators of the group modulo torsion |
j |
-849324229790800/141453 |
j-invariant |
L |
10.875383217293 |
L(r)(E,1)/r! |
Ω |
0.9456927972035 |
Real period |
R |
1.9166518709151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120900z1 |
Quadratic twists by: 5 |