Atkin-Lehner |
2- 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194be |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-5997273204916224 = -1 · 224 · 33 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-98471,-12438817] |
[a1,a2,a3,a4,a6] |
j |
-3910937343040446291/222121229811712 |
j-invariant |
L |
6.4469546335844 |
L(r)(E,1)/r! |
Ω |
0.13431155486679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40194g2 |
Quadratic twists by: -3 |