Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350cf |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1344501180000000 = -1 · 28 · 34 · 57 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4662,1760292] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-1446:1] |
Generators of the group modulo torsion |
j |
717157709351/86048075520 |
j-invariant |
L |
10.365538608632 |
L(r)(E,1)/r! |
Ω |
0.37016627649924 |
Real period |
R |
0.29169151098183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050r1 6270a1 |
Quadratic twists by: -3 5 |