Atkin-Lehner |
3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
92925d |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
1219640625 = 33 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
5000211/2891 |
j-invariant |
L |
7.2233449688629 |
L(r)(E,1)/r! |
Ω |
1.2919961795701 |
Real period |
R |
2.7954204054427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92925b1 3717b1 |
Quadratic twists by: -3 5 |