Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11532c |
Isogeny class |
Conductor |
11532 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1.7054320660083E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 0 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2935214,2035969617] |
[a1,a2,a3,a4,a6] |
Generators |
[659:19683:1] |
Generators of the group modulo torsion |
j |
-196948657599232/12010035159 |
j-invariant |
L |
4.6228049059773 |
L(r)(E,1)/r! |
Ω |
0.17832968544682 |
Real period |
R |
2.1602333969218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46128bc1 34596q1 372c1 |
Quadratic twists by: -4 -3 -31 |