Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976p |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67092480 |
Modular degree for the optimal curve |
Δ |
-4.477738961878E+21 |
Discriminant |
Eigenvalues |
2+ -2 3 2 11+ 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4907046369,-132307275256961] |
[a1,a2,a3,a4,a6] |
Generators |
[1050239143030999276148770534463929139628837772116087419172988225445:179447282077503210399925610726274664630253782052960501998660693308416:11023373522301146742328910021239775008993980308692248633562375] |
Generators of the group modulo torsion |
j |
-361585288790756017/123904 |
j-invariant |
L |
7.2521352905269 |
L(r)(E,1)/r! |
Ω |
0.0090191273361063 |
Real period |
R |
100.51049037603 |
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 |
118976df1 3718h1 118976bm1 |
Quadratic twists by: -4 8 13 |