Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560eh |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
230443315200 = 212 · 38 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8652,-308896] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:20:1] |
Generators of the group modulo torsion |
j |
69934528/225 |
j-invariant |
L |
7.1444986277702 |
L(r)(E,1)/r! |
Ω |
0.49511311840329 |
Real period |
R |
1.8037541226478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560by2 23520e2 70560dq2 |
Quadratic twists by: -4 -3 -7 |