Atkin-Lehner |
2+ 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30192f |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-5796864 = -1 · 210 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 3 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-124] |
[a1,a2,a3,a4,a6] |
Generators |
[8:18:1] |
Generators of the group modulo torsion |
j |
-470596/5661 |
j-invariant |
L |
5.0320550589709 |
L(r)(E,1)/r! |
Ω |
1.0224254086588 |
Real period |
R |
1.2304210694382 |
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 |
15096c1 120768ce1 90576h1 |
Quadratic twists by: -4 8 -3 |