Atkin-Lehner |
3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
22725p |
Isogeny class |
Conductor |
22725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-2236480875 = -1 · 311 · 53 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 -3 -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-545,5532] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:95:1] [8:36:1] |
Generators of the group modulo torsion |
j |
-196122941/24543 |
j-invariant |
L |
5.0862999014261 |
L(r)(E,1)/r! |
Ω |
1.4170392949617 |
Real period |
R |
0.44867315249399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7575c1 22725n1 |
Quadratic twists by: -3 5 |