Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664q |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
64 |
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 |
[-49:738:1] |
Generators of the group modulo torsion |
j |
10360822154254/8969622669 |
j-invariant |
L |
3.8616026083655 |
L(r)(E,1)/r! |
Ω |
0.25851748774551 |
Real period |
R |
3.7343727104312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007099 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41832y3 27888f3 |
Quadratic twists by: -4 -3 |