Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050ei |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-840507985800 = -1 · 23 · 36 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1975,27857] |
[a1,a2,a3,a4,a6] |
j |
397535/392 |
j-invariant |
L |
3.5178942858224 |
L(r)(E,1)/r! |
Ω |
0.58631571430373 |
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 |
2450f1 22050cp1 3150bh1 |
Quadratic twists by: -3 5 -7 |