Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cp |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
23954477595300 = 22 · 37 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11034,-376160] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:272:1] |
Generators of the group modulo torsion |
j |
1732323601/279300 |
j-invariant |
L |
4.9283006490302 |
L(r)(E,1)/r! |
Ω |
0.47089629453802 |
Real period |
R |
1.3082234617693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930ck1 11970s1 |
Quadratic twists by: -3 -7 |