Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194u |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-2.5039706043835E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-442233,-265925651] |
[a1,a2,a3,a4,a6] |
j |
-13120493711215846033/34348019264520192 |
j-invariant |
L |
0.68847264604 |
L(r)(E,1)/r! |
Ω |
0.086059080752743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bb1 |
Quadratic twists by: -3 |