Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966da |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.2714342811451E+29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1284742859,-4454988308359] |
[a1,a2,a3,a4,a6] |
Generators |
[82197:-21143300:1] |
Generators of the group modulo torsion |
j |
82582985847542515777/44772582831427584 |
j-invariant |
L |
5.5963667823755 |
L(r)(E,1)/r! |
Ω |
0.026885088813653 |
Real period |
R |
8.6732817090533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12138w2 4998bm2 |
Quadratic twists by: -7 17 |