Atkin-Lehner |
2- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105028c |
Isogeny class |
Conductor |
105028 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-65020738861232 = -1 · 24 · 7 · 117 · 313 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1506853,711456172] |
[a1,a2,a3,a4,a6] |
Generators |
[249:18755:1] [711:121:1] |
Generators of the group modulo torsion |
j |
-13349363777536000/2293907 |
j-invariant |
L |
12.831457282557 |
L(r)(E,1)/r! |
Ω |
0.48762363726369 |
Real period |
R |
0.7309517867712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9548c2 |
Quadratic twists by: -11 |