Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650bx |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-8250713789062500 = -1 · 22 · 310 · 510 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68138,8093531] |
[a1,a2,a3,a4,a6] |
Generators |
[-231:3517:1] |
Generators of the group modulo torsion |
j |
-3582549608425/844873092 |
j-invariant |
L |
9.338767602155 |
L(r)(E,1)/r! |
Ω |
0.39510946016518 |
Real period |
R |
2.9544874723605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650bm1 |
Quadratic twists by: 5 |