Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bb |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
28440000 = 26 · 32 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,78] |
[a1,a2,a3,a4,a6] |
Generators |
[21:90:1] |
Generators of the group modulo torsion |
j |
895841344/444375 |
j-invariant |
L |
7.4213352741668 |
L(r)(E,1)/r! |
Ω |
1.8626386343172 |
Real period |
R |
1.9921564865991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840m1 37920i2 |
Quadratic twists by: -4 8 |