Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440l |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
76146287922432000 = 211 · 34 · 53 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3404536,2418980236] |
[a1,a2,a3,a4,a6] |
Generators |
[625736:-4638843:512] |
Generators of the group modulo torsion |
j |
18112543427820242/316031625 |
j-invariant |
L |
5.8209184989749 |
L(r)(E,1)/r! |
Ω |
0.31599828748302 |
Real period |
R |
9.210363996127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920i3 |
Quadratic twists by: -7 |