Atkin-Lehner |
3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24795b |
Isogeny class |
Conductor |
24795 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-25757665875 = -1 · 39 · 53 · 192 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 1 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-648,-9997] |
[a1,a2,a3,a4,a6] |
Generators |
[33:67:1] [49:275:1] |
Generators of the group modulo torsion |
j |
-1528823808/1308625 |
j-invariant |
L |
5.7224574635112 |
L(r)(E,1)/r! |
Ω |
0.45668059179751 |
Real period |
R |
3.132636664604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24795c1 123975d1 |
Quadratic twists by: -3 5 |