Atkin-Lehner |
2- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124270t |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
-106282543820800000 = -1 · 215 · 55 · 176 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 2 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-408941,101700259] |
[a1,a2,a3,a4,a6] |
j |
-313337384670961/4403200000 |
j-invariant |
L |
10.072185825728 |
L(r)(E,1)/r! |
Ω |
0.33573953408977 |
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 |
430d1 |
Quadratic twists by: 17 |