Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178m |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1979473758552 = -1 · 23 · 32 · 177 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 6 7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2739,39424] |
[a1,a2,a3,a4,a6] |
Generators |
[22:1719:8] |
Generators of the group modulo torsion |
j |
94196375/82008 |
j-invariant |
L |
6.1576278759963 |
L(r)(E,1)/r! |
Ω |
0.53942805425831 |
Real period |
R |
1.4268881407672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998841274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834c1 |
Quadratic twists by: 17 |