Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950gl |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-764968929984000 = -1 · 29 · 315 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78303,-8570619] |
[a1,a2,a3,a4,a6] |
j |
-8668683959667221/124892886528 |
j-invariant |
L |
2.5664054452279 |
L(r)(E,1)/r! |
Ω |
0.14257812037961 |
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 |
124950dz1 124950it1 |
Quadratic twists by: 5 -7 |