Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480dd |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-1755000000 = -1 · 26 · 33 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 13- -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-265,2525] |
[a1,a2,a3,a4,a6] |
Generators |
[20:75:1] |
Generators of the group modulo torsion |
j |
-32278933504/27421875 |
j-invariant |
L |
6.4663439507624 |
L(r)(E,1)/r! |
Ω |
1.3643063923933 |
Real period |
R |
0.22569793869567 |
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 |
12480q1 3120m1 37440eg1 62400ee1 |
Quadratic twists by: -4 8 -3 5 |