Atkin-Lehner |
2+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79768d |
Isogeny class |
Conductor |
79768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-171554774782217216 = -1 · 210 · 138 · 593 |
Discriminant |
Eigenvalues |
2+ 1 1 1 -4 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90640,-22556624] |
[a1,a2,a3,a4,a6] |
Generators |
[56595:-678028:125] [34884:6515224:1] |
Generators of the group modulo torsion |
j |
-16662038116/34709051 |
j-invariant |
L |
13.007703490923 |
L(r)(E,1)/r! |
Ω |
0.1290691272985 |
Real period |
R |
8.3984087720461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6136d1 |
Quadratic twists by: 13 |