Atkin-Lehner |
5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97175x |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
52208787109375 = 59 · 133 · 233 |
Discriminant |
Eigenvalues |
1 -1 5- 3 -4 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70450,7159625] |
[a1,a2,a3,a4,a6] |
Generators |
[160:45:1] |
Generators of the group modulo torsion |
j |
9011897441/12167 |
j-invariant |
L |
4.5940960591991 |
L(r)(E,1)/r! |
Ω |
0.63034477211443 |
Real period |
R |
1.8220568587445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175ba1 97175y1 |
Quadratic twists by: 5 13 |