Atkin-Lehner |
2+ 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264z |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-6724591239168 = -1 · 214 · 38 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 11- -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170929,27143567] |
[a1,a2,a3,a4,a6] |
Generators |
[-451:3564:1] [143:2376:1] |
Generators of the group modulo torsion |
j |
-33709597668821968/410436477 |
j-invariant |
L |
11.98052613871 |
L(r)(E,1)/r! |
Ω |
0.68101240892478 |
Real period |
R |
0.1832523837323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264bg1 6204b1 |
Quadratic twists by: -4 8 |