Atkin-Lehner |
2+ 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504f |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
45667079424 = 28 · 311 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 6 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387327,-92782222] |
[a1,a2,a3,a4,a6] |
j |
34434163299872464/244701 |
j-invariant |
L |
1.5309820565527 |
L(r)(E,1)/r! |
Ω |
0.19137275624742 |
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 |
24168l1 |
Quadratic twists by: -3 |