Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230y |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-2.068501197015E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 4 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2022711,-2453233011] |
[a1,a2,a3,a4,a6] |
j |
-915219435877001726216689/2068501197015000000000 |
j-invariant |
L |
3.1966192788559 |
L(r)(E,1)/r! |
Ω |
0.059196653312145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840cq2 30690m2 51150z2 112530k2 |
Quadratic twists by: -4 -3 5 -11 |