Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498r |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-69248252224368 = -1 · 24 · 310 · 77 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,432,-400464] |
[a1,a2,a3,a4,a6] |
Generators |
[93:615:1] |
Generators of the group modulo torsion |
j |
103823/807408 |
j-invariant |
L |
3.3089685731478 |
L(r)(E,1)/r! |
Ω |
0.2851976940868 |
Real period |
R |
1.4502959891992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26166z1 11214g1 |
Quadratic twists by: -3 -7 |