Atkin-Lehner |
2- 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
92904o |
Isogeny class |
Conductor |
92904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-44388787968 = -1 · 28 · 34 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-548,11460] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:126:1] [-2:112:1] |
Generators of the group modulo torsion |
j |
-207646000/505521 |
j-invariant |
L |
9.5972923923247 |
L(r)(E,1)/r! |
Ω |
1.0076044279709 |
Real period |
R |
1.190607658879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92904w1 |
Quadratic twists by: -7 |