Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390k |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
20321280 |
Modular degree for the optimal curve |
Δ |
4.2054313914507E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1470694095,21708958665325] |
[a1,a2,a3,a4,a6] |
Generators |
[22133:-13231:1] |
Generators of the group modulo torsion |
j |
482573233994539531386378766321/576876734081024000 |
j-invariant |
L |
4.0895345513788 |
L(r)(E,1)/r! |
Ω |
0.10651760622039 |
Real period |
R |
2.7423598903224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710m1 |
Quadratic twists by: -3 |