Atkin-Lehner |
2- 5- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310x |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
28000 |
Modular degree for the optimal curve |
Δ |
-222451693750 = -1 · 2 · 55 · 115 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 3 11+ 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1297,29271] |
[a1,a2,a3,a4,a6] |
j |
-241118029063521/222451693750 |
j-invariant |
L |
4.5440421012176 |
L(r)(E,1)/r! |
Ω |
0.90880842024353 |
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 |
121550f1 |
Quadratic twists by: 5 |