Atkin-Lehner |
2- 3+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62604a |
Isogeny class |
Conductor |
62604 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1788489352368 = -1 · 24 · 33 · 374 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,840,63657] |
[a1,a2,a3,a4,a6] |
Generators |
[4:259:1] |
Generators of the group modulo torsion |
j |
151732224000/4140021649 |
j-invariant |
L |
7.4760422776629 |
L(r)(E,1)/r! |
Ω |
0.62893623461271 |
Real period |
R |
0.99056707002124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62604b1 |
Quadratic twists by: -3 |