Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030i |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1528770171350450 = 2 · 52 · 712 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29524,-525528] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1191:1] |
Generators of the group modulo torsion |
j |
24190225473961/12994332050 |
j-invariant |
L |
2.1558998577101 |
L(r)(E,1)/r! |
Ω |
0.38761993152441 |
Real period |
R |
1.3904727816959 |
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 |
115150bz2 3290d2 |
Quadratic twists by: 5 -7 |