Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4290r |
Isogeny class |
Conductor |
4290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
677605500 = 22 · 36 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29326,-1945201] |
[a1,a2,a3,a4,a6] |
Generators |
[321:4513:1] |
Generators of the group modulo torsion |
j |
2789222297765780449/677605500 |
j-invariant |
L |
4.1549089462495 |
L(r)(E,1)/r! |
Ω |
0.36482641561913 |
Real period |
R |
5.6943641802888 |
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 |
34320bz2 12870z2 21450u2 47190b2 |
Quadratic twists by: -4 -3 5 -11 |