Atkin-Lehner |
2- 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35650g |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-4456250000 = -1 · 24 · 58 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 -2 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2130,38497] |
[a1,a2,a3,a4,a6] |
j |
-68367756969/285200 |
j-invariant |
L |
11.084208644893 |
L(r)(E,1)/r! |
Ω |
1.385526080611 |
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 |
7130b1 |
Quadratic twists by: 5 |