Atkin-Lehner |
2- 3+ 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942l |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45969288762632004 = 22 · 34 · 78 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90334,-1709929] |
[a1,a2,a3,a4,a6] |
Generators |
[-137490:2920369:1000] |
Generators of the group modulo torsion |
j |
81522546358869747937/45969288762632004 |
j-invariant |
L |
5.099425392484 |
L(r)(E,1)/r! |
Ω |
0.2965895965034 |
Real period |
R |
8.5967705081414 |
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 |
56826i4 |
Quadratic twists by: -3 |