Atkin-Lehner |
2- 7+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896i |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-162781172267614208 = -1 · 217 · 77 · 114 · 103 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ 11+ 1 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-595171,-177793054] |
[a1,a2,a3,a4,a6] |
Generators |
[116976051213:5625252135712:45499293] |
Generators of the group modulo torsion |
j |
-5692316634680000697/39741497135648 |
j-invariant |
L |
10.389112822627 |
L(r)(E,1)/r! |
Ω |
0.085906889196014 |
Real period |
R |
15.116821421216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15862a1 |
Quadratic twists by: -4 |