Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450i |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-11360256000 = -1 · 214 · 3 · 53 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,365,4525] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:65:1] |
Generators of the group modulo torsion |
j |
42838260499/90882048 |
j-invariant |
L |
2.481445516446 |
L(r)(E,1)/r! |
Ω |
0.88376383177215 |
Real period |
R |
1.4039075979553 |
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 |
51600dq1 19350cx1 6450bk1 |
Quadratic twists by: -4 -3 5 |