Atkin-Lehner |
2- 3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674o |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.9322366038122E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63246524,-210384179827] |
[a1,a2,a3,a4,a6] |
j |
-38380105394519107097435257/4022272433212893301806 |
j-invariant |
L |
2.8738776213149 |
L(r)(E,1)/r! |
Ω |
0.026609977975473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558f2 |
Quadratic twists by: -3 |