Atkin-Lehner |
2- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
49840s |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-204144640000000 = -1 · 222 · 57 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 5 2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47440,-4020288] |
[a1,a2,a3,a4,a6] |
j |
-2882749860542161/49840000000 |
j-invariant |
L |
4.5242333407525 |
L(r)(E,1)/r! |
Ω |
0.16157976218389 |
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 |
6230g1 |
Quadratic twists by: -4 |