Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640q |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
83462400 = 28 · 34 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108676,13753340] |
[a1,a2,a3,a4,a6] |
Generators |
[191:24:1] |
Generators of the group modulo torsion |
j |
554483565352358224/326025 |
j-invariant |
L |
6.1372695695564 |
L(r)(E,1)/r! |
Ω |
1.1785573887377 |
Real period |
R |
1.3018605687348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320m1 115920bg1 |
Quadratic twists by: -4 -3 |