Atkin-Lehner |
2- 3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bg |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.4505313379148E+26 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-383961155,2992305059795] |
[a1,a2,a3,a4,a6] |
Generators |
[8091:640390:1] |
Generators of the group modulo torsion |
j |
-8587327990907084702251515625/336149703417668552777232 |
j-invariant |
L |
9.4289673565495 |
L(r)(E,1)/r! |
Ω |
0.055113464733175 |
Real period |
R |
3.5642255642338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134m2 |
Quadratic twists by: -3 |