Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920be |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-36521453963366400 = -1 · 212 · 3 · 52 · 7 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1360,9194112] |
[a1,a2,a3,a4,a6] |
j |
67867385039/8916370596525 |
j-invariant |
L |
2.3176384170846 |
L(r)(E,1)/r! |
Ω |
0.28970480213596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1995h6 127680fa5 95760dj5 |
Quadratic twists by: -4 8 -3 |