Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990be |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1605883896647100 = -1 · 22 · 34 · 52 · 79 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24817,1207406] |
[a1,a2,a3,a4,a6] |
j |
41890384817/39795300 |
j-invariant |
L |
2.4906359778229 |
L(r)(E,1)/r! |
Ω |
0.31132949722789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970ct1 124950fk1 24990d1 |
Quadratic twists by: -3 5 -7 |