Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9440d |
Isogeny class |
Conductor |
9440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6041600 = 212 · 52 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-321,-2321] |
[a1,a2,a3,a4,a6] |
Generators |
[34:165:1] |
Generators of the group modulo torsion |
j |
895841344/1475 |
j-invariant |
L |
3.3773153633667 |
L(r)(E,1)/r! |
Ω |
1.1277259096996 |
Real period |
R |
2.9948016041117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9440b2 18880n1 84960p2 47200l2 |
Quadratic twists by: -4 8 -3 5 |