Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650z |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-8904812500 = -1 · 22 · 56 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 0 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,237,-4219] |
[a1,a2,a3,a4,a6] |
j |
94196375/569908 |
j-invariant |
L |
2.6040486399666 |
L(r)(E,1)/r! |
Ω |
0.65101215999171 |
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 |
986a1 |
Quadratic twists by: 5 |