Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5304g |
Isogeny class |
Conductor |
5304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
238298112 = 210 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 6 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-424,-3140] |
[a1,a2,a3,a4,a6] |
j |
8251733668/232713 |
j-invariant |
L |
2.1074200919712 |
L(r)(E,1)/r! |
Ω |
1.0537100459856 |
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 |
10608f1 42432ba1 15912e1 68952b1 |
Quadratic twists by: -4 8 -3 13 |