Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fi |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
235298000000000 = 210 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16333,323037] |
[a1,a2,a3,a4,a6] |
Generators |
[-7142364:-65091747:68921] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
10.592921097295 |
L(r)(E,1)/r! |
Ω |
0.49504001307204 |
Real period |
R |
10.699055447159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400la1 9800u1 78400fo1 1600m1 |
Quadratic twists by: -4 8 5 -7 |