Atkin-Lehner |
2- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
2050g |
Isogeny class |
Conductor |
2050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-128125000 = -1 · 23 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -5 6 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55,-553] |
[a1,a2,a3,a4,a6] |
j |
-46305/328 |
j-invariant |
L |
2.335389981453 |
L(r)(E,1)/r! |
Ω |
0.778463327151 |
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 |
16400w1 65600bc1 18450y1 2050b1 |
Quadratic twists by: -4 8 -3 5 |