Atkin-Lehner |
3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
24225i |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-409932421875 = -1 · 32 · 58 · 17 · 193 |
Discriminant |
Eigenvalues |
0 3+ 5- -4 -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17583,903818] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:1206:1] [192:2137:1] |
Generators of the group modulo torsion |
j |
-1539101655040/1049427 |
j-invariant |
L |
4.9689206761678 |
L(r)(E,1)/r! |
Ω |
0.93687906456164 |
Real period |
R |
0.29464971426721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72675bi1 24225j1 |
Quadratic twists by: -3 5 |