Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
784j |
Isogeny class |
Conductor |
784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
453551299002368 = 215 · 712 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27848,-1475468] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:294:1] |
Generators of the group modulo torsion |
j |
4956477625/941192 |
j-invariant |
L |
1.7509775464191 |
L(r)(E,1)/r! |
Ω |
0.37443843413795 |
Real period |
R |
2.3381381113431 |
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 |
98a4 3136y4 7056bp4 19600cp4 |
Quadratic twists by: -4 8 -3 5 |