Atkin-Lehner |
2- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
74176l |
Isogeny class |
Conductor |
74176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-5370029080576 = -1 · 216 · 192 · 613 |
Discriminant |
Eigenvalues |
2- -2 1 -3 3 -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2015,-105249] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-976:1] |
Generators of the group modulo torsion |
j |
13799183324/81940141 |
j-invariant |
L |
3.5884429752004 |
L(r)(E,1)/r! |
Ω |
0.38206195173656 |
Real period |
R |
0.39134610659746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176g1 18544b1 |
Quadratic twists by: -4 8 |