Atkin-Lehner |
2+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976u |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
439296 |
Modular degree for the optimal curve |
Δ |
-15289482359996416 = -1 · 217 · 11 · 139 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 11+ 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8788,-5940688] |
[a1,a2,a3,a4,a6] |
Generators |
[166:304:1] [676:17576:1] |
Generators of the group modulo torsion |
j |
54/11 |
j-invariant |
L |
12.037275762367 |
L(r)(E,1)/r! |
Ω |
0.18537919852259 |
Real period |
R |
8.1166575457297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976dq1 14872k1 118976br1 |
Quadratic twists by: -4 8 13 |