Atkin-Lehner |
2+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
16400m |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-52480000 = -1 · 211 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 2 -3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5675,-164550] |
[a1,a2,a3,a4,a6] |
Generators |
[89:188:1] |
Generators of the group modulo torsion |
j |
-15791062050/41 |
j-invariant |
L |
4.0412989002393 |
L(r)(E,1)/r! |
Ω |
0.27502870562038 |
Real period |
R |
3.673524633659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8200m1 65600ci1 16400i1 |
Quadratic twists by: -4 8 5 |