Atkin-Lehner |
2- 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27612d |
Isogeny class |
Conductor |
27612 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
429421824 = 28 · 37 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 0 0 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,1316] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-18:1] [-8:54:1] |
Generators of the group modulo torsion |
j |
10903552/2301 |
j-invariant |
L |
7.0556124932708 |
L(r)(E,1)/r! |
Ω |
1.5840396359907 |
Real period |
R |
0.37118244671001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448bh1 9204a1 |
Quadratic twists by: -4 -3 |