Atkin-Lehner |
2+ 3- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954p |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
50391255441996 = 22 · 35 · 78 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20459,1071578] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3256:1] |
Generators of the group modulo torsion |
j |
164271447529/8741196 |
j-invariant |
L |
5.9405687627721 |
L(r)(E,1)/r! |
Ω |
0.62470212742513 |
Real period |
R |
0.15849070218007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954c1 |
Quadratic twists by: -7 |