Atkin-Lehner |
3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78033c |
Isogeny class |
Conductor |
78033 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
596160 |
Modular degree for the optimal curve |
Δ |
-2878567995775779 = -1 · 310 · 19 · 376 |
Discriminant |
Eigenvalues |
2 3- -1 3 -3 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,26924,-1933193] |
[a1,a2,a3,a4,a6] |
Generators |
[5060:53359:64] |
Generators of the group modulo torsion |
j |
841232384/1121931 |
j-invariant |
L |
16.953315149179 |
L(r)(E,1)/r! |
Ω |
0.24105395728305 |
Real period |
R |
3.5164979945726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57c1 |
Quadratic twists by: 37 |