Atkin-Lehner |
3- 7+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
114807n |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
2924425662933159 = 310 · 78 · 112 · 71 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ 11- 0 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44297,2467674] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:2497:1] |
Generators of the group modulo torsion |
j |
1667488890193/507289959 |
j-invariant |
L |
3.8804106865232 |
L(r)(E,1)/r! |
Ω |
0.41859331366547 |
Real period |
R |
0.15450201685437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114807i1 |
Quadratic twists by: -7 |