Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994bs |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-252252574344429984 = -1 · 25 · 33 · 138 · 713 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 3 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,117536,18539936] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-6676:1] |
Generators of the group modulo torsion |
j |
37202839392887/52260732576 |
j-invariant |
L |
14.15399132975 |
L(r)(E,1)/r! |
Ω |
0.21063478790909 |
Real period |
R |
1.1199472690847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538i1 |
Quadratic twists by: 13 |