Atkin-Lehner |
2- 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192s |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-9736505524224 = -1 · 218 · 310 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 5 1 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10936,-461456] |
[a1,a2,a3,a4,a6] |
Generators |
[46270:242514:343] |
Generators of the group modulo torsion |
j |
-35316607651129/2377076544 |
j-invariant |
L |
5.3281752627334 |
L(r)(E,1)/r! |
Ω |
0.23252412566263 |
Real period |
R |
5.7286262743163 |
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 |
3774l1 120768dq1 90576w1 |
Quadratic twists by: -4 8 -3 |