Atkin-Lehner |
2- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20336c |
Isogeny class |
Conductor |
20336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22779737478791168 = 223 · 312 · 414 |
Discriminant |
Eigenvalues |
2- -2 2 0 -6 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157392,22858132] |
[a1,a2,a3,a4,a6] |
Generators |
[162:1280:1] |
Generators of the group modulo torsion |
j |
105272390671409233/5561459345408 |
j-invariant |
L |
3.3663237819724 |
L(r)(E,1)/r! |
Ω |
0.37537747004322 |
Real period |
R |
2.2419591282242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2542a2 81344i2 |
Quadratic twists by: -4 8 |