Atkin-Lehner |
2+ 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050x |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-462620362500000000 = -1 · 28 · 35 · 511 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136026,-38008052] |
[a1,a2,a3,a4,a6] |
Generators |
[1037:-31119:1] |
Generators of the group modulo torsion |
j |
-17814140715089809/29607703200000 |
j-invariant |
L |
6.7426250002209 |
L(r)(E,1)/r! |
Ω |
0.11758177594237 |
Real period |
R |
0.95573555025718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810l1 |
Quadratic twists by: 5 |