Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31008h |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1561950355968 = -1 · 29 · 34 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18400,956444] |
[a1,a2,a3,a4,a6] |
Generators |
[71:114:1] |
Generators of the group modulo torsion |
j |
-1345645994284808/3050684289 |
j-invariant |
L |
5.1510869990098 |
L(r)(E,1)/r! |
Ω |
0.84791886510391 |
Real period |
R |
0.75937203590502 |
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 |
31008n2 62016f2 93024bn2 |
Quadratic twists by: -4 8 -3 |