Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216w |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
195324542976 = 222 · 3 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15352,726740] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:1170:1] |
Generators of the group modulo torsion |
j |
97698284547193/47686656 |
j-invariant |
L |
8.8899296428123 |
L(r)(E,1)/r! |
Ω |
0.99203169376721 |
Real period |
R |
4.4806681574114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902d1 117648bf1 |
Quadratic twists by: -4 -3 |