Atkin-Lehner |
5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97175q |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-216829310546875 = -1 · 59 · 136 · 23 |
Discriminant |
Eigenvalues |
-2 2 5- -1 0 13+ -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-77458,8353568] |
[a1,a2,a3,a4,a6] |
Generators |
[117:937:1] [126:760:1] |
Generators of the group modulo torsion |
j |
-5451776/23 |
j-invariant |
L |
7.9917012039175 |
L(r)(E,1)/r! |
Ω |
0.56367875351946 |
Real period |
R |
3.5444396090813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175w1 575c1 |
Quadratic twists by: 5 13 |