Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742bg |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
180087435399168 = 212 · 33 · 11 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34220,-2340817] |
[a1,a2,a3,a4,a6] |
j |
1108717875/45056 |
j-invariant |
L |
4.2227853193757 |
L(r)(E,1)/r! |
Ω |
0.35189882647425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742a3 198c1 |
Quadratic twists by: -3 -23 |