Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650es |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-463426393500 = -1 · 22 · 39 · 53 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,310,-32763] |
[a1,a2,a3,a4,a6] |
Generators |
[69:525:1] |
Generators of the group modulo torsion |
j |
36264691/5085612 |
j-invariant |
L |
8.4395770384892 |
L(r)(E,1)/r! |
Ω |
0.44272889568669 |
Real period |
R |
2.3828287241567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550q1 97650cg1 |
Quadratic twists by: -3 5 |