Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bm |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-37636665915211776 = -1 · 219 · 39 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10581,9324506] |
[a1,a2,a3,a4,a6] |
Generators |
[295:6174:1] |
Generators of the group modulo torsion |
j |
43874924183/12604443264 |
j-invariant |
L |
3.2938372535479 |
L(r)(E,1)/r! |
Ω |
0.28281176947655 |
Real period |
R |
1.4558434306165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3906w1 124992eq1 10416q1 |
Quadratic twists by: -4 8 -3 |