Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hi |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-26353376000000000 = -1 · 214 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26133,-7986637] |
[a1,a2,a3,a4,a6] |
Generators |
[59106:2757475:27] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
7.5925858134437 |
L(r)(E,1)/r! |
Ω |
0.16067476628463 |
Real period |
R |
5.90679699457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bs1 19600cj1 15680dp1 11200cl1 |
Quadratic twists by: -4 8 5 -7 |