Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77924h |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
803183239936 = 28 · 7 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3 3 7+ 11- -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3751,77198] |
[a1,a2,a3,a4,a6] |
Generators |
[-526218:3027662:9261] |
Generators of the group modulo torsion |
j |
12869712/1771 |
j-invariant |
L |
14.217279524522 |
L(r)(E,1)/r! |
Ω |
0.86008611875529 |
Real period |
R |
8.2650325426697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084k1 |
Quadratic twists by: -11 |