Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480i |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1774413527040 = -1 · 211 · 38 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1024,62496] |
[a1,a2,a3,a4,a6] |
Generators |
[18:294:1] |
Generators of the group modulo torsion |
j |
57925453822/866412855 |
j-invariant |
L |
3.9351510475342 |
L(r)(E,1)/r! |
Ω |
0.62143933099455 |
Real period |
R |
1.5830793334389 |
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 |
9240bb4 73920ic3 55440bl3 92400cb3 |
Quadratic twists by: -4 8 -3 5 |