Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bd |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
80307965059560000 = 26 · 310 · 54 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-185670,-27564300] |
[a1,a2,a3,a4,a6] |
j |
8253429989329/936360000 |
j-invariant |
L |
1.8535269876423 |
L(r)(E,1)/r! |
Ω |
0.23169087111732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24990cd2 1530f2 |
Quadratic twists by: -3 -7 |