Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650dg |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-1265544000000 = -1 · 29 · 36 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-905,-54903] |
[a1,a2,a3,a4,a6] |
j |
-7189057/111104 |
j-invariant |
L |
3.3233326745696 |
L(r)(E,1)/r! |
Ω |
0.36925918670392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850h1 3906l1 |
Quadratic twists by: -3 5 |