Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900z |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1650240 |
Modular degree for the optimal curve |
Δ |
-353632500000000 = -1 · 28 · 33 · 510 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2677708,1685633588] |
[a1,a2,a3,a4,a6] |
Generators |
[947:138:1] |
Generators of the group modulo torsion |
j |
-849324229790800/141453 |
j-invariant |
L |
8.4776789783206 |
L(r)(E,1)/r! |
Ω |
0.42292667607579 |
Real period |
R |
3.3408781545547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120900t1 |
Quadratic twists by: 5 |