Atkin-Lehner |
2+ 3- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230q |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5952 |
Modular degree for the optimal curve |
Δ |
-446760 = -1 · 23 · 32 · 5 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 5 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[12:34:1] |
Generators of the group modulo torsion |
j |
-47045881/446760 |
j-invariant |
L |
5.316194940603 |
L(r)(E,1)/r! |
Ω |
1.2580467493337 |
Real period |
R |
2.1128765458907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690bm1 |
Quadratic twists by: -3 |