Atkin-Lehner |
2- 3+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048r |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4146961906925568 = 218 · 312 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-566648,-163961232] |
[a1,a2,a3,a4,a6] |
j |
4912523165427333625/1012441871808 |
j-invariant |
L |
1.3920874587277 |
L(r)(E,1)/r! |
Ω |
0.17401092746376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10506d2 |
Quadratic twists by: -4 |