Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bs |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8309145600 = 215 · 32 · 52 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15736,765040] |
[a1,a2,a3,a4,a6] |
Generators |
[76:-48:1] [-52:1200:1] |
Generators of the group modulo torsion |
j |
105214211150329/2028600 |
j-invariant |
L |
7.2069679985528 |
L(r)(E,1)/r! |
Ω |
1.2051433310201 |
Real period |
R |
0.74752187281857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830i2 115920ey2 |
Quadratic twists by: -4 -3 |