Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150cc |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.7494197109938E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1656755,-192632253] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:15510:1] |
Generators of the group modulo torsion |
j |
1192105100199918267/651714301865200 |
j-invariant |
L |
9.6969282065427 |
L(r)(E,1)/r! |
Ω |
0.14212044947158 |
Real period |
R |
1.4214656516876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150b4 25830d2 |
Quadratic twists by: -3 5 |