Atkin-Lehner |
2- 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550z |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-78582500000 = -1 · 25 · 57 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 0 7 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1713,-30583] |
[a1,a2,a3,a4,a6] |
j |
-35578826569/5029280 |
j-invariant |
L |
7.3632028812931 |
L(r)(E,1)/r! |
Ω |
0.36816014406317 |
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 |
7310b1 |
Quadratic twists by: 5 |