Atkin-Lehner |
2+ 3+ 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090c |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
429913363050 = 2 · 33 · 52 · 23 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-165677,25887291] |
[a1,a2,a3,a4,a6] |
Generators |
[247:209:1] |
Generators of the group modulo torsion |
j |
502938027100789916761/429913363050 |
j-invariant |
L |
4.9204713431521 |
L(r)(E,1)/r! |
Ω |
0.78638893451111 |
Real period |
R |
3.128522749503 |
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 |
126270bk4 |
Quadratic twists by: -3 |