Atkin-Lehner |
2- 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170bi |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-10876924477440 = -1 · 214 · 38 · 5 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 6 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29237,-1923379] |
[a1,a2,a3,a4,a6] |
j |
-3791234790830089/14920335360 |
j-invariant |
L |
5.1102630264631 |
L(r)(E,1)/r! |
Ω |
0.1825093938024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390i1 |
Quadratic twists by: -3 |