Atkin-Lehner |
2+ 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720d |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-203520 = -1 · 28 · 3 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,-3] |
[a1,a2,a3,a4,a6] |
j |
1362944/795 |
j-invariant |
L |
1.9160112894451 |
L(r)(E,1)/r! |
Ω |
1.9160112894451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6360i1 50880dr1 38160f1 63600s1 |
Quadratic twists by: -4 8 -3 5 |