Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910bg |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-19878736500 = -1 · 22 · 37 · 53 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 -5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,282,6556] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:33:1] [-10:57:1] |
Generators of the group modulo torsion |
j |
7267563953/57955500 |
j-invariant |
L |
9.6114639430242 |
L(r)(E,1)/r! |
Ω |
0.88869644222269 |
Real period |
R |
0.12875283883548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910h1 |
Quadratic twists by: -7 |