Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200bg |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11219310000000000 = 210 · 310 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7389075,7730954750] |
[a1,a2,a3,a4,a6] |
Generators |
[1510:4050:1] |
Generators of the group modulo torsion |
j |
3825131988299044/961875 |
j-invariant |
L |
4.5739218504066 |
L(r)(E,1)/r! |
Ω |
0.32213486337934 |
Real period |
R |
1.7748474204344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400br4 11400bb3 6840t3 |
Quadratic twists by: -4 -3 5 |