Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
78141j |
Isogeny class |
Conductor |
78141 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
12052800 |
Modular degree for the optimal curve |
Δ |
-9.2452515784699E+22 |
Discriminant |
Eigenvalues |
-2 3- 0 7- -4 4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6021818,15693878096] |
[a1,a2,a3,a4,a6] |
Generators |
[-2603:117211:1] |
Generators of the group modulo torsion |
j |
-468735288832000/1794484549683 |
j-invariant |
L |
3.1925539535664 |
L(r)(E,1)/r! |
Ω |
0.093547328527726 |
Real period |
R |
0.1579985512408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1281d1 |
Quadratic twists by: 61 |