Atkin-Lehner |
3- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24633k |
Isogeny class |
Conductor |
24633 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
24727418289 = 312 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21956,-1246674] |
[a1,a2,a3,a4,a6] |
Generators |
[1004:30930:1] |
Generators of the group modulo torsion |
j |
1605599802471673/33919641 |
j-invariant |
L |
2.3119228541514 |
L(r)(E,1)/r! |
Ω |
0.39220519781797 |
Real period |
R |
5.8946767330309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8211c1 |
Quadratic twists by: -3 |