Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920be |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12129600000000 = 212 · 3 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-647120,200582400] |
[a1,a2,a3,a4,a6] |
j |
7316761561829228881/2961328125 |
j-invariant |
L |
2.3176384170846 |
L(r)(E,1)/r! |
Ω |
0.57940960427191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1995h5 127680fa6 95760dj6 |
Quadratic twists by: -4 8 -3 |