Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280c |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-595548684787680000 = -1 · 28 · 33 · 54 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38081,-37226619] |
[a1,a2,a3,a4,a6] |
Generators |
[621:13350:1] |
Generators of the group modulo torsion |
j |
-173056/16875 |
j-invariant |
L |
4.3873117398984 |
L(r)(E,1)/r! |
Ω |
0.12829935506034 |
Real period |
R |
4.2744873287116 |
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 |
40560s1 60840bv1 101400dg1 20280u1 |
Quadratic twists by: -4 -3 5 13 |