Atkin-Lehner |
3- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34515j |
Isogeny class |
Conductor |
34515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26368 |
Modular degree for the optimal curve |
Δ |
-494841555 = -1 · 37 · 5 · 13 · 592 |
Discriminant |
Eigenvalues |
2 3- 5- 1 3 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1317,18427] |
[a1,a2,a3,a4,a6] |
j |
-346540109824/678795 |
j-invariant |
L |
6.6310321438663 |
L(r)(E,1)/r! |
Ω |
1.6577580359664 |
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 |
11505a1 |
Quadratic twists by: -3 |