Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200n |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-16480000 = -1 · 28 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 6 7 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,512] |
[a1,a2,a3,a4,a6] |
j |
-878800/103 |
j-invariant |
L |
4.2738472201617 |
L(r)(E,1)/r! |
Ω |
2.1369236100803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600l1 41200l1 |
Quadratic twists by: -4 5 |