Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480dh |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-27293760 = -1 · 26 · 38 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60,198] |
[a1,a2,a3,a4,a6] |
Generators |
[33:198:1] |
Generators of the group modulo torsion |
j |
367061696/426465 |
j-invariant |
L |
5.600201625559 |
L(r)(E,1)/r! |
Ω |
1.4063270362078 |
Real period |
R |
1.991073726585 |
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 |
12480ci1 6240b4 37440es1 62400ek1 |
Quadratic twists by: -4 8 -3 5 |