Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1410h |
Isogeny class |
Conductor |
1410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
11280 = 24 · 3 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16,-31] |
[a1,a2,a3,a4,a6] |
j |
454756609/11280 |
j-invariant |
L |
2.3899291194028 |
L(r)(E,1)/r! |
Ω |
2.3899291194028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11280w1 45120bi1 4230n1 7050k1 |
Quadratic twists by: -4 8 -3 5 |