Atkin-Lehner |
2- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68962h |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
292320 |
Modular degree for the optimal curve |
Δ |
-5657959429352 = -1 · 23 · 297 · 41 |
Discriminant |
Eigenvalues |
2- -3 2 3 -3 1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-999,115335] |
[a1,a2,a3,a4,a6] |
j |
-185193/9512 |
j-invariant |
L |
3.7789103583038 |
L(r)(E,1)/r! |
Ω |
0.62981838835174 |
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 |
2378b1 |
Quadratic twists by: 29 |