Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100l |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
4.5080833304145E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32283133,69868941262] |
[a1,a2,a3,a4,a6] |
Generators |
[-5403:294175:1] |
Generators of the group modulo torsion |
j |
14883694352287298093056/180323333216578125 |
j-invariant |
L |
6.0640976841482 |
L(r)(E,1)/r! |
Ω |
0.11411192975505 |
Real period |
R |
1.7713887577407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220l1 |
Quadratic twists by: 5 |