Atkin-Lehner |
3+ 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
66975b |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-179445908203125 = -1 · 3 · 510 · 194 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14100,17625] |
[a1,a2,a3,a4,a6] |
j |
19838685678911/11484538125 |
j-invariant |
L |
1.3644249672929 |
L(r)(E,1)/r! |
Ω |
0.34110624432224 |
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 |
13395d4 |
Quadratic twists by: 5 |