Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gy |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2420454960 = -1 · 24 · 36 · 5 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-681,-7470] |
[a1,a2,a3,a4,a6] |
Generators |
[74:594:1] |
Generators of the group modulo torsion |
j |
-6373654528/441045 |
j-invariant |
L |
9.2034853442117 |
L(r)(E,1)/r! |
Ω |
0.46537244351375 |
Real period |
R |
3.2961002456177 |
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 |
32340d1 129360ft1 |
Quadratic twists by: -4 -7 |