Atkin-Lehner |
2+ 3+ 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42090a |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3675640781250000 = 24 · 36 · 510 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2751863,-1758211707] |
[a1,a2,a3,a4,a6] |
Generators |
[-28542754:12809543:29791] |
Generators of the group modulo torsion |
j |
2304646847288638500985849/3675640781250000 |
j-invariant |
L |
3.3967453338965 |
L(r)(E,1)/r! |
Ω |
0.11721761305562 |
Real period |
R |
7.2445284572632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126270bo2 |
Quadratic twists by: -3 |