Atkin-Lehner |
3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
22725f |
Isogeny class |
Conductor |
22725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
1704375 = 33 · 54 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 2 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-305,2122] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-4:1] |
Generators of the group modulo torsion |
j |
185371875/101 |
j-invariant |
L |
3.8712283847527 |
L(r)(E,1)/r! |
Ω |
2.6230478566829 |
Real period |
R |
0.73792561101958 |
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 |
22725e1 22725d1 |
Quadratic twists by: -3 5 |