Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gy |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
651974400 = 28 · 33 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11076,-452376] |
[a1,a2,a3,a4,a6] |
Generators |
[970:351:8] |
Generators of the group modulo torsion |
j |
1711503051568/7425 |
j-invariant |
L |
9.2034853442117 |
L(r)(E,1)/r! |
Ω |
0.46537244351375 |
Real period |
R |
6.5922004912353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340d2 129360ft2 |
Quadratic twists by: -4 -7 |