Atkin-Lehner |
3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575co |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316080 |
Modular degree for the optimal curve |
Δ |
-2366298046875 = -1 · 3 · 58 · 74 · 292 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2042,-64256] |
[a1,a2,a3,a4,a6] |
j |
1003520/2523 |
j-invariant |
L |
0.84356364402504 |
L(r)(E,1)/r! |
Ω |
0.42178170493073 |
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 |
106575c1 106575bp1 |
Quadratic twists by: 5 -7 |