Atkin-Lehner |
2- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21808d |
Isogeny class |
Conductor |
21808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
187329293582336 = 237 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 0 -1 -4 0 -1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26723,1547106] |
[a1,a2,a3,a4,a6] |
Generators |
[75:32768:27] |
Generators of the group modulo torsion |
j |
515251659466809/45734690816 |
j-invariant |
L |
3.4584838902099 |
L(r)(E,1)/r! |
Ω |
0.55339827442767 |
Real period |
R |
1.5623846558732 |
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 |
2726a1 87232r1 |
Quadratic twists by: -4 8 |