Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170be |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-21464044277760 = -1 · 212 · 36 · 5 · 7 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1418,224201] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:487:1] |
Generators of the group modulo torsion |
j |
-432252699481/29443133440 |
j-invariant |
L |
8.9340466106313 |
L(r)(E,1)/r! |
Ω |
0.56150631363673 |
Real period |
R |
1.9888571138159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4130b2 |
Quadratic twists by: -3 |