Atkin-Lehner |
2- 3- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870w |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-121328590766276700 = -1 · 22 · 322 · 52 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,59962,-15791983] |
[a1,a2,a3,a4,a6] |
Generators |
[1045:33933:1] |
Generators of the group modulo torsion |
j |
32706291576839399/166431537402300 |
j-invariant |
L |
8.9950257834143 |
L(r)(E,1)/r! |
Ω |
0.16647713387463 |
Real period |
R |
6.7539499037774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290f2 |
Quadratic twists by: -3 |