Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37191b |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5220355354089183 = 32 · 76 · 118 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69042,-6084576] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:896:1] |
Generators of the group modulo torsion |
j |
309368403125137/44372288367 |
j-invariant |
L |
3.5287762137346 |
L(r)(E,1)/r! |
Ω |
0.29734002506243 |
Real period |
R |
0.74173839634307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573bd3 759b4 |
Quadratic twists by: -3 -7 |