Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34400i |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-26875000000000000 = -1 · 212 · 516 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 3 -5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65533,10171563] |
[a1,a2,a3,a4,a6] |
j |
-486329388544/419921875 |
j-invariant |
L |
1.3739809986323 |
L(r)(E,1)/r! |
Ω |
0.34349524965996 |
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 |
34400z1 68800l1 6880f1 |
Quadratic twists by: -4 8 5 |