Atkin-Lehner |
3- 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205i |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3051341475 = 3 · 52 · 72 · 132 · 173 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78599,8474891] |
[a1,a2,a3,a4,a6] |
Generators |
[191:567:1] |
Generators of the group modulo torsion |
j |
53699078263181776489/3051341475 |
j-invariant |
L |
6.1709323567956 |
L(r)(E,1)/r! |
Ω |
1.070567175954 |
Real period |
R |
0.96069518030583 |
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 |
69615q2 116025n2 |
Quadratic twists by: -3 5 |