Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104h |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6053211057395712 = 211 · 3 · 74 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-633584,194288160] |
[a1,a2,a3,a4,a6] |
j |
569001644066/122451 |
j-invariant |
L |
1.6538100832086 |
L(r)(E,1)/r! |
Ω |
0.41345252562176 |
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 |
48552bc4 5712j4 |
Quadratic twists by: -4 17 |