Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480h |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
341510400 = 28 · 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-316,2080] |
[a1,a2,a3,a4,a6] |
Generators |
[1:42:1] |
Generators of the group modulo torsion |
j |
13674725584/1334025 |
j-invariant |
L |
4.4258865617342 |
L(r)(E,1)/r! |
Ω |
1.6602667224061 |
Real period |
R |
1.3328841992689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240k2 73920ib2 55440bm2 92400cc2 |
Quadratic twists by: -4 8 -3 5 |