Atkin-Lehner |
2- 3+ 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41820d |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3599878982400 = 28 · 39 · 52 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1784660,-917064408] |
[a1,a2,a3,a4,a6] |
Generators |
[-170734089130:-67951078:221445125] |
Generators of the group modulo torsion |
j |
2455559487148582002256/14062027275 |
j-invariant |
L |
5.7007003132168 |
L(r)(E,1)/r! |
Ω |
0.13062029555208 |
Real period |
R |
14.547765565114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125460d2 |
Quadratic twists by: -3 |