Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22575k |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
61728515625 = 3 · 510 · 72 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3501,78523] |
[a1,a2,a3,a4,a6] |
Generators |
[206:493:8] |
Generators of the group modulo torsion |
j |
303599943361/3950625 |
j-invariant |
L |
7.1212754849077 |
L(r)(E,1)/r! |
Ω |
1.1111895768987 |
Real period |
R |
3.2043476797105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67725r1 4515e1 |
Quadratic twists by: -3 5 |