Atkin-Lehner |
2+ 3+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18942a |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
425507700554244 = 22 · 36 · 72 · 116 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31741,-1950455] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:253:1] |
Generators of the group modulo torsion |
j |
3536770715983808857/425507700554244 |
j-invariant |
L |
2.1044185007746 |
L(r)(E,1)/r! |
Ω |
0.36049401769898 |
Real period |
R |
2.9187980901972 |
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 |
56826y2 |
Quadratic twists by: -3 |