Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cv |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
97301250000 = 24 · 34 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3633,81738] |
[a1,a2,a3,a4,a6] |
Generators |
[18:150:1] |
Generators of the group modulo torsion |
j |
21217755136/389205 |
j-invariant |
L |
7.4064928729873 |
L(r)(E,1)/r! |
Ω |
1.0672149677467 |
Real period |
R |
0.86750245930138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9300d1 111600ec1 7440m1 |
Quadratic twists by: -4 -3 5 |