Atkin-Lehner |
2- 3+ 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35298g |
Isogeny class |
Conductor |
35298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15648 |
Modular degree for the optimal curve |
Δ |
-77196726 = -1 · 2 · 39 · 37 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 -5 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,106,-53] |
[a1,a2,a3,a4,a6] |
j |
6751269/3922 |
j-invariant |
L |
2.2901466209194 |
L(r)(E,1)/r! |
Ω |
1.1450733104588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35298a1 |
Quadratic twists by: -3 |