Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030h |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9471087500000 = 25 · 58 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5479,48906] |
[a1,a2,a3,a4,a6] |
Generators |
[4:162:1] |
Generators of the group modulo torsion |
j |
53017536563263/27612500000 |
j-invariant |
L |
1.8178712724582 |
L(r)(E,1)/r! |
Ω |
0.64040790909279 |
Real period |
R |
1.4193073247904 |
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 |
115150by2 23030k2 |
Quadratic twists by: 5 -7 |