Atkin-Lehner |
5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97175p |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1516320 |
Modular degree for the optimal curve |
Δ |
-3876951438440234375 = -1 · 58 · 138 · 233 |
Discriminant |
Eigenvalues |
-1 1 5- 2 -4 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,177362,90280267] |
[a1,a2,a3,a4,a6] |
j |
1936415/12167 |
j-invariant |
L |
2.1571586655209 |
L(r)(E,1)/r! |
Ω |
0.17976321185792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175h1 97175n1 |
Quadratic twists by: 5 13 |