Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
7832c |
Isogeny class |
Conductor |
7832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
2004992 = 211 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41771,-3285946] |
[a1,a2,a3,a4,a6] |
Generators |
[782:21030:1] [37270:410142:125] |
Generators of the group modulo torsion |
j |
3935667288078594/979 |
j-invariant |
L |
4.7032108034145 |
L(r)(E,1)/r! |
Ω |
0.33394953000236 |
Real period |
R |
56.334390449746 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15664a3 62656a4 70488b4 86152a4 |
Quadratic twists by: -4 8 -3 -11 |