Atkin-Lehner |
2+ 3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550cj |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
-849649500 = -1 · 22 · 38 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,153,1161] |
[a1,a2,a3,a4,a6] |
Generators |
[3:39:1] |
Generators of the group modulo torsion |
j |
4330747/9324 |
j-invariant |
L |
5.5369905789347 |
L(r)(E,1)/r! |
Ω |
1.0977836365957 |
Real period |
R |
1.2609475951719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850da1 116550fw1 |
Quadratic twists by: -3 5 |