Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bv |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
297533574217728 = 224 · 39 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 -7 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40755,3056114] |
[a1,a2,a3,a4,a6] |
Generators |
[31:1350:1] |
Generators of the group modulo torsion |
j |
2507141976625/99643392 |
j-invariant |
L |
7.2481729582387 |
L(r)(E,1)/r! |
Ω |
0.5415954701639 |
Real period |
R |
3.3457503745987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999579363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218i1 43248j1 |
Quadratic twists by: -4 -3 |