Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950hp |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2620800 |
Modular degree for the optimal curve |
Δ |
-881922187617187500 = -1 · 22 · 313 · 510 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-372513,-98517483] |
[a1,a2,a3,a4,a6] |
j |
-11946810138025/1843037388 |
j-invariant |
L |
4.9820846795091 |
L(r)(E,1)/r! |
Ω |
0.095809294202497 |
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 |
124950cg1 124950ep1 |
Quadratic twists by: 5 -7 |