Atkin-Lehner |
2+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24650j |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-2095250000 = -1 · 24 · 56 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -1 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,200,2000] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:36:1] |
Generators of the group modulo torsion |
j |
56181887/134096 |
j-invariant |
L |
3.5395300948582 |
L(r)(E,1)/r! |
Ω |
1.0235900745386 |
Real period |
R |
0.8644891599925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986d1 |
Quadratic twists by: 5 |