Atkin-Lehner |
2+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
784b |
Isogeny class |
Conductor |
784 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
92236816 = 24 · 78 |
Discriminant |
Eigenvalues |
2+ -3 -1 7+ 1 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343,2401] |
[a1,a2,a3,a4,a6] |
Generators |
[0:49:1] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
1.4763178645822 |
L(r)(E,1)/r! |
Ω |
1.9041961437256 |
Real period |
R |
0.25843238706382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
392e1 3136q1 7056m1 19600f1 |
Quadratic twists by: -4 8 -3 5 |