Atkin-Lehner |
2+ 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107822c |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
-9.5886385390084E+19 |
Discriminant |
Eigenvalues |
2+ 0 2 1 11+ 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4999136,4329168624] |
[a1,a2,a3,a4,a6] |
j |
-1302922084800861/9042047344 |
j-invariant |
L |
0.76351110996215 |
L(r)(E,1)/r! |
Ω |
0.19087792274877 |
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 |
107822n1 |
Quadratic twists by: 13 |