Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790bl |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
7947520758658252800 = 214 · 311 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-928755,316916725] |
[a1,a2,a3,a4,a6] |
j |
1033027067767969/92665036800 |
j-invariant |
L |
1.8212503011285 |
L(r)(E,1)/r! |
Ω |
0.22765628782228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930ct1 11970w1 |
Quadratic twists by: -3 -7 |