Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080bi |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-1608034177800000 = -1 · 26 · 314 · 55 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27537,792988] |
[a1,a2,a3,a4,a6] |
Generators |
[1572:62680:1] |
Generators of the group modulo torsion |
j |
49495541909696/34465753125 |
j-invariant |
L |
4.4505293047461 |
L(r)(E,1)/r! |
Ω |
0.30017972472737 |
Real period |
R |
7.4131077284976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080bh1 59040z2 39360bf1 |
Quadratic twists by: -4 8 -3 |