Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960h |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
496742400 = 212 · 32 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,4081] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-84:1] [-17:84:1] |
Generators of the group modulo torsion |
j |
3010936384/121275 |
j-invariant |
L |
7.3846984140101 |
L(r)(E,1)/r! |
Ω |
1.6407065092784 |
Real period |
R |
0.56261573689823 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960p2 73920il1 110880dx2 |
Quadratic twists by: -4 8 -3 |