Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920n |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-98607925701089280 = -1 · 211 · 34 · 5 · 7 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,77520,12645108] |
[a1,a2,a3,a4,a6] |
j |
25155297018905758/48148401221235 |
j-invariant |
L |
3.7139023457947 |
L(r)(E,1)/r! |
Ω |
0.23211889661203 |
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 |
15960m6 127680dh5 95760x5 |
Quadratic twists by: -4 8 -3 |