Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040v |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
445952 |
Modular degree for the optimal curve |
Δ |
-308750000000000 = -1 · 210 · 513 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 -6 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67725,6858877] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:3625:1] [9:2500:1] |
Generators of the group modulo torsion |
j |
-33548816887343104/301513671875 |
j-invariant |
L |
7.7895082245992 |
L(r)(E,1)/r! |
Ω |
0.54732117791659 |
Real period |
R |
0.54738694987121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040by1 9880j1 |
Quadratic twists by: -4 8 |