Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
24900s |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-67230000 = -1 · 24 · 34 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67,-312] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
3276800/6723 |
j-invariant |
L |
6.4041522475312 |
L(r)(E,1)/r! |
Ω |
1.0184653985193 |
Real period |
R |
1.5720102658475 |
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 |
99600ci1 74700r1 24900a1 |
Quadratic twists by: -4 -3 5 |