Atkin-Lehner |
3- 5+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165c |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-618932788492966605 = -1 · 310 · 5 · 72 · 172 · 236 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -6 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74363,-38628984] |
[a1,a2,a3,a4,a6] |
Generators |
[428:2580:1] [458:4590:1] |
Generators of the group modulo torsion |
j |
-62382304571869801/849016170772245 |
j-invariant |
L |
6.1972414638382 |
L(r)(E,1)/r! |
Ω |
0.12357061866652 |
Real period |
R |
2.0896423192022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055e2 |
Quadratic twists by: -3 |