Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086b |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
43008000 |
Modular degree for the optimal curve |
Δ |
-1.4369108784422E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -5 1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-369687270,2796117209524] |
[a1,a2,a3,a4,a6] |
Generators |
[8657:-498763:1] |
Generators of the group modulo torsion |
j |
-233181060948366864507/5996473317588992 |
j-invariant |
L |
3.1038351604131 |
L(r)(E,1)/r! |
Ω |
0.057927367558808 |
Real period |
R |
1.6744218655826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997841949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121086s1 3906a1 |
Quadratic twists by: -3 -31 |