Atkin-Lehner |
2- 3+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
112338k |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
13457808 |
Modular degree for the optimal curve |
Δ |
-2.4462338216256E+23 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 1 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14144056,12123328267] |
[a1,a2,a3,a4,a6] |
j |
10479429/8192 |
j-invariant |
L |
4.9485134553001 |
L(r)(E,1)/r! |
Ω |
0.063442482230327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112338a1 112338l1 |
Quadratic twists by: -3 -79 |