Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480i |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
887040 = 28 · 32 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1156,15520] |
[a1,a2,a3,a4,a6] |
Generators |
[21:8:1] |
Generators of the group modulo torsion |
j |
667932971344/3465 |
j-invariant |
L |
3.9351510475342 |
L(r)(E,1)/r! |
Ω |
2.4857573239782 |
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 |
9240bb1 73920ic1 55440bl1 92400cb1 |
Quadratic twists by: -4 8 -3 5 |