Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800q |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11362292640000000 = -1 · 211 · 32 · 57 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24592,4900812] |
[a1,a2,a3,a4,a6] |
Generators |
[937:29150:1] |
Generators of the group modulo torsion |
j |
51396982702/355071645 |
j-invariant |
L |
4.6377592609064 |
L(r)(E,1)/r! |
Ω |
0.29315658303362 |
Real period |
R |
1.9775094306745 |
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 |
63600q3 95400d3 6360d4 |
Quadratic twists by: -4 -3 5 |