Atkin-Lehner |
2+ 3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710h |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-2.9975259603177E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1272098,-623089676] |
[a1,a2,a3,a4,a6] |
j |
227659033695627003426839/299752596031773081600 |
j-invariant |
L |
0.92115040494227 |
L(r)(E,1)/r! |
Ω |
0.092115040494998 |
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 |
104130bp1 |
Quadratic twists by: -3 |