Atkin-Lehner |
2- 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
105040x |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
9106944 |
Modular degree for the optimal curve |
Δ |
-1.476946432E+23 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -2 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14907160,-28850864400] |
[a1,a2,a3,a4,a6] |
j |
-89443447801995760127641/36058262500000000000 |
j-invariant |
L |
4.2189128848577 |
L(r)(E,1)/r! |
Ω |
0.037668867984337 |
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 |
13130b1 |
Quadratic twists by: -4 |