Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090g |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-6215444820 = -1 · 22 · 33 · 5 · 135 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 1 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-527,-6231] |
[a1,a2,a3,a4,a6] |
Generators |
[30:63:1] |
Generators of the group modulo torsion |
j |
-16234636151161/6215444820 |
j-invariant |
L |
3.3710567507025 |
L(r)(E,1)/r! |
Ω |
0.48879889049759 |
Real period |
R |
3.4483064673805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720dc1 36270bm1 60450cp1 |
Quadratic twists by: -4 -3 5 |