Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200a |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-211757587200 = -1 · 28 · 39 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1247,13837] |
[a1,a2,a3,a4,a6] |
Generators |
[12:3239:27] |
Generators of the group modulo torsion |
j |
33480719360/33087123 |
j-invariant |
L |
5.3833312583731 |
L(r)(E,1)/r! |
Ω |
0.65782264564383 |
Real period |
R |
4.0917801279816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bb1 49200bl1 |
Quadratic twists by: -4 5 |