Atkin-Lehner |
2+ 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194n |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
123769223424 = 28 · 39 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124398,16918740] |
[a1,a2,a3,a4,a6] |
Generators |
[205:-75:1] |
Generators of the group modulo torsion |
j |
292037311595104993/169779456 |
j-invariant |
L |
2.9133474968756 |
L(r)(E,1)/r! |
Ω |
0.86038886799892 |
Real period |
R |
1.6930411382773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bg1 |
Quadratic twists by: -3 |