Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41832y |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-13391574887835648 = -1 · 211 · 39 · 7 · 834 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51909,-3205834] |
[a1,a2,a3,a4,a6] |
Generators |
[158:2990:1] [2914:64015:8] |
Generators of the group modulo torsion |
j |
10360822154254/8969622669 |
j-invariant |
L |
8.4617535595392 |
L(r)(E,1)/r! |
Ω |
0.2191407254384 |
Real period |
R |
38.613331878918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83664q3 13944d4 |
Quadratic twists by: -4 -3 |