Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400bw |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-6233348800000000 = -1 · 212 · 58 · 72 · 433 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36533,-4665437] |
[a1,a2,a3,a4,a6] |
j |
-84258095104/97396075 |
j-invariant |
L |
1.9832652067343 |
L(r)(E,1)/r! |
Ω |
0.16527216255134 |
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 |
7525a1 24080h1 |
Quadratic twists by: -4 5 |