Atkin-Lehner |
2- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
29072g |
Isogeny class |
Conductor |
29072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
171175936 = 212 · 232 · 79 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 0 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-376,2864] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2:1] [2:46:1] |
Generators of the group modulo torsion |
j |
1439069689/41791 |
j-invariant |
L |
6.0768236017563 |
L(r)(E,1)/r! |
Ω |
1.8016302867318 |
Real period |
R |
0.84323954344434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1817a1 116288r1 |
Quadratic twists by: -4 8 |