Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400a |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
2014104780800 = 225 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 2 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6860,-207760] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:28:1] |
Generators of the group modulo torsion |
j |
2268945/128 |
j-invariant |
L |
6.1581934031522 |
L(r)(E,1)/r! |
Ω |
0.52643413878861 |
Real period |
R |
1.9496561705974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400fw1 2450a1 78400dm1 78400s1 |
Quadratic twists by: -4 8 5 -7 |