Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12276a |
Isogeny class |
Conductor |
12276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-640568112624 = -1 · 24 · 36 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11+ 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7173,-236979] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1331:1] |
Generators of the group modulo torsion |
j |
-3499279992576/54918391 |
j-invariant |
L |
3.7599491960276 |
L(r)(E,1)/r! |
Ω |
0.25914295112562 |
Real period |
R |
1.2090975205306 |
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 |
49104br1 1364b1 |
Quadratic twists by: -4 -3 |