Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
92120f |
Isogeny class |
Conductor |
92120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3053568 |
Modular degree for the optimal curve |
Δ |
1.185387205625E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7151207,-7342003494] |
[a1,a2,a3,a4,a6] |
Generators |
[-1152702:2543750:729] |
Generators of the group modulo torsion |
j |
3915069128661168/11474609375 |
j-invariant |
L |
7.0322706587567 |
L(r)(E,1)/r! |
Ω |
0.092338163226429 |
Real period |
R |
6.3464826904067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92120c1 |
Quadratic twists by: -7 |