Atkin-Lehner |
2- 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090v |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
288288 |
Modular degree for the optimal curve |
Δ |
-5764961242675781250 = -1 · 2 · 3 · 522 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -4 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,432475,37077917] |
[a1,a2,a3,a4,a6] |
j |
8945542253538201956399/5764961242675781250 |
j-invariant |
L |
3.2935257979292 |
L(r)(E,1)/r! |
Ω |
0.14970571808769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720dg1 36270o1 60450bi1 |
Quadratic twists by: -4 -3 5 |