Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994a |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20966400 |
Modular degree for the optimal curve |
Δ |
7.9690236164917E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -6 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-579913025,5374930732917] |
[a1,a2,a3,a4,a6] |
Generators |
[32687:4603694:1] |
Generators of the group modulo torsion |
j |
26440245574746975765625/976918413312 |
j-invariant |
L |
3.1468795318039 |
L(r)(E,1)/r! |
Ω |
0.11761946220244 |
Real period |
R |
4.4591253199231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994bg1 |
Quadratic twists by: 13 |