Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320m |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2230553600 = 210 · 52 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11- 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5896,-176220] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:13083:8] |
Generators of the group modulo torsion |
j |
22139603415076/2178275 |
j-invariant |
L |
4.8379029301462 |
L(r)(E,1)/r! |
Ω |
0.54482447847003 |
Real period |
R |
4.4398729504861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160b2 |
Quadratic twists by: -4 |