Atkin-Lehner |
2+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040bh |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-8149435798400000 = -1 · 210 · 55 · 135 · 193 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 -2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13432,4384456] |
[a1,a2,a3,a4,a6] |
Generators |
[337:6175:1] [-138:1900:1] |
Generators of the group modulo torsion |
j |
-261725359417344/7958433396875 |
j-invariant |
L |
6.6892476041898 |
L(r)(E,1)/r! |
Ω |
0.34624904929963 |
Real period |
R |
0.12879453132845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040cd1 9880a1 |
Quadratic twists by: -4 8 |