Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790bn |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-2861761590051840 = -1 · 210 · 36 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62190,6516180] |
[a1,a2,a3,a4,a6] |
j |
-904231063/97280 |
j-invariant |
L |
1.762332170635 |
L(r)(E,1)/r! |
Ω |
0.44058306058914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310u1 83790bx1 |
Quadratic twists by: -3 -7 |