Atkin-Lehner |
2+ 3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650bm |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-528045682500 = -1 · 22 · 310 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2726,64748] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1351:1] [27:-119:1] |
Generators of the group modulo torsion |
j |
-3582549608425/844873092 |
j-invariant |
L |
9.1977309986877 |
L(r)(E,1)/r! |
Ω |
0.88349161148259 |
Real period |
R |
0.086755502064013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650bx1 |
Quadratic twists by: 5 |