Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480bt |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-5686200000 = -1 · 26 · 37 · 55 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11211,460665] |
[a1,a2,a3,a4,a6] |
Generators |
[56:73:1] |
Generators of the group modulo torsion |
j |
-2435092894982656/88846875 |
j-invariant |
L |
3.9100049736039 |
L(r)(E,1)/r! |
Ω |
1.2646477537156 |
Real period |
R |
3.0917739442592 |
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 |
12480cr1 6240p1 37440fo1 62400gg1 |
Quadratic twists by: -4 8 -3 5 |