Atkin-Lehner |
2- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
35650o |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
115776 |
Modular degree for the optimal curve |
Δ |
-2676535156250 = -1 · 2 · 59 · 23 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 3 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50088,4294531] |
[a1,a2,a3,a4,a6] |
j |
-889416742394809/171298250 |
j-invariant |
L |
4.7121702160066 |
L(r)(E,1)/r! |
Ω |
0.78536170266784 |
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 |
7130a1 |
Quadratic twists by: 5 |