Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
41832q |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
22783598918002944 = 28 · 33 · 78 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-581391,170473490] |
[a1,a2,a3,a4,a6] |
Generators |
[397:1494:1] [-235:17150:1] |
Generators of the group modulo torsion |
j |
3144306665349751536/3296238269387 |
j-invariant |
L |
8.2714056868311 |
L(r)(E,1)/r! |
Ω |
0.37886661905569 |
Real period |
R |
0.45483276473002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83664c1 41832c1 |
Quadratic twists by: -4 -3 |