Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282bu |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-2928793629084352512 = -1 · 225 · 3 · 710 · 103 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 3 -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,167089,78042873] |
[a1,a2,a3,a4,a6] |
j |
4385093815095839/24894335090688 |
j-invariant |
L |
9.1698116240005 |
L(r)(E,1)/r! |
Ω |
0.18339623248004 |
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 |
90846bw1 4326h1 |
Quadratic twists by: -3 -7 |