Atkin-Lehner |
2- 3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850bp |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-2495848243200 = -1 · 213 · 3 · 52 · 133 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1372,74021] |
[a1,a2,a3,a4,a6] |
Generators |
[269:4337:1] |
Generators of the group modulo torsion |
j |
11424211996055/99833929728 |
j-invariant |
L |
8.9046540583904 |
L(r)(E,1)/r! |
Ω |
0.59567228352592 |
Real period |
R |
0.19165275048236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850bj1 |
Quadratic twists by: 5 |