Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650bd |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
42830372025000000 = 26 · 38 · 58 · 72 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-191776,30737198] |
[a1,a2,a3,a4,a6] |
Generators |
[-287:8027:1] |
Generators of the group modulo torsion |
j |
49920991080953329/2741143809600 |
j-invariant |
L |
6.7597164493476 |
L(r)(E,1)/r! |
Ω |
0.35586591843766 |
Real period |
R |
1.1871951098072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992424 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330r2 |
Quadratic twists by: 5 |