Atkin-Lehner |
2- 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35496h |
Isogeny class |
Conductor |
35496 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-2313297605376 = -1 · 28 · 37 · 173 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -1 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,636,72916] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:58:1] [20:-306:1] |
Generators of the group modulo torsion |
j |
152450048/12395499 |
j-invariant |
L |
6.9487146922386 |
L(r)(E,1)/r! |
Ω |
0.62621318995717 |
Real period |
R |
0.23117508820206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70992e1 11832b1 |
Quadratic twists by: -4 -3 |