Atkin-Lehner |
2+ 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650q |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-28973700000000 = -1 · 28 · 34 · 58 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 1 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23450,1396500] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:1470:1] [-91:1715:1] |
Generators of the group modulo torsion |
j |
-3651078375625/74172672 |
j-invariant |
L |
6.9013190110764 |
L(r)(E,1)/r! |
Ω |
0.66351142879692 |
Real period |
R |
0.43338358062532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650cw1 |
Quadratic twists by: 5 |