Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432bh |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-40660940070912 = -1 · 213 · 3 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 3 -6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,304368] |
[a1,a2,a3,a4,a6] |
Generators |
[572:13720:1] |
Generators of the group modulo torsion |
j |
4913/246 |
j-invariant |
L |
7.6271970792752 |
L(r)(E,1)/r! |
Ω |
0.48980737886494 |
Real period |
R |
1.9464787041555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054o1 96432de1 |
Quadratic twists by: -4 -7 |