Atkin-Lehner |
2- 3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bh |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
2.4653290827109E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1975775,1042400711] |
[a1,a2,a3,a4,a6] |
Generators |
[-941:45942:1] |
Generators of the group modulo torsion |
j |
1170060815562944019625/33817957238833152 |
j-invariant |
L |
8.8002240601153 |
L(r)(E,1)/r! |
Ω |
0.21174977042101 |
Real period |
R |
0.94453510800794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398o1 |
Quadratic twists by: -3 |