Atkin-Lehner |
2- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
11536h |
Isogeny class |
Conductor |
11536 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-14181343232 = -1 · 213 · 75 · 103 |
Discriminant |
Eigenvalues |
2- 1 2 7- -4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-232,5812] |
[a1,a2,a3,a4,a6] |
Generators |
[54:392:1] |
Generators of the group modulo torsion |
j |
-338608873/3462242 |
j-invariant |
L |
5.9374032022034 |
L(r)(E,1)/r! |
Ω |
1.0672821830612 |
Real period |
R |
0.27815526654694 |
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 |
1442a1 46144r1 103824cd1 80752p1 |
Quadratic twists by: -4 8 -3 -7 |