Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650en |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-96102247500000 = -1 · 25 · 311 · 57 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -3 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11245,105747] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3930:1] |
Generators of the group modulo torsion |
j |
13806727199/8436960 |
j-invariant |
L |
11.604712039306 |
L(r)(E,1)/r! |
Ω |
0.36975009467364 |
Real period |
R |
0.39231606058673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550p1 19530l1 |
Quadratic twists by: -3 5 |