Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790dj |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
4225569847810920000 = 26 · 39 · 54 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-500177,93702529] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:13316:1] |
Generators of the group modulo torsion |
j |
5976054062523/1824760000 |
j-invariant |
L |
11.097252482017 |
L(r)(E,1)/r! |
Ω |
0.22822899736789 |
Real period |
R |
1.0129859165271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790j1 11970bf1 |
Quadratic twists by: -3 -7 |