Atkin-Lehner |
3+ 5+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
125925a |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
3394072265625 = 32 · 510 · 232 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23188,-1365844] |
[a1,a2,a3,a4,a6] |
Generators |
[-730:561:8] |
Generators of the group modulo torsion |
j |
88245939632761/217220625 |
j-invariant |
L |
2.7203739592 |
L(r)(E,1)/r! |
Ω |
0.38694378569228 |
Real period |
R |
3.515205665431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999406785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25185h1 |
Quadratic twists by: 5 |