Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266h |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-631137321518432256 = -1 · 216 · 37 · 114 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 11- 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3456189,2474274757] |
[a1,a2,a3,a4,a6] |
Generators |
[842:12251:1] |
Generators of the group modulo torsion |
j |
-6263090762679682219729/865757642686464 |
j-invariant |
L |
4.494604408833 |
L(r)(E,1)/r! |
Ω |
0.27833695405563 |
Real period |
R |
0.50462716405224 |
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 |
106128bf1 4422i1 |
Quadratic twists by: -4 -3 |