Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cb |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24649265510876160 = 210 · 312 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-414360,-102246948] |
[a1,a2,a3,a4,a6] |
Generators |
[838:11760:1] |
Generators of the group modulo torsion |
j |
65308549273636/204604785 |
j-invariant |
L |
6.1912635407429 |
L(r)(E,1)/r! |
Ω |
0.18820744956787 |
Real period |
R |
4.1119942082569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360co4 9240be3 |
Quadratic twists by: -4 -7 |