Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790cs |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
189269946432000000 = 212 · 33 · 56 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-887228,-320759169] |
[a1,a2,a3,a4,a6] |
Generators |
[-535:1017:1] |
Generators of the group modulo torsion |
j |
24315150763476243/59584000000 |
j-invariant |
L |
10.698509947533 |
L(r)(E,1)/r! |
Ω |
0.15558034722316 |
Real period |
R |
1.4326078317309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790m3 11970bn1 |
Quadratic twists by: -3 -7 |