Atkin-Lehner |
2+ 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050bi |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-137609201925000000 = -1 · 26 · 32 · 58 · 13 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-491951,-134044702] |
[a1,a2,a3,a4,a6] |
Generators |
[3063:163084:1] |
Generators of the group modulo torsion |
j |
-33707609307867145/352279556928 |
j-invariant |
L |
4.6390571025754 |
L(r)(E,1)/r! |
Ω |
0.090077983826256 |
Real period |
R |
2.1458522685569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150fj2 37050bo2 |
Quadratic twists by: -3 5 |