Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
624b |
Isogeny class |
Conductor |
624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-73008 = -1 · 24 · 33 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
702464/4563 |
j-invariant |
L |
1.713163480429 |
L(r)(E,1)/r! |
Ω |
1.7240319881874 |
Real period |
R |
1.9873917562634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
312f1 2496bd1 1872f1 15600u1 |
Quadratic twists by: -4 8 -3 5 |