Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
94752s |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
247454512704 = 26 · 36 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6921,-220320] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:36:1] [117:756:1] |
Generators of the group modulo torsion |
j |
785819420352/5303809 |
j-invariant |
L |
10.190440598289 |
L(r)(E,1)/r! |
Ω |
0.52364139629276 |
Real period |
R |
4.8651809573104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994866 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94752c1 10528f1 |
Quadratic twists by: -4 -3 |