Atkin-Lehner |
2+ 3+ 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830g |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
4472884592640000 = 218 · 39 · 54 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-115980,14887376] |
[a1,a2,a3,a4,a6] |
Generators |
[233:571:1] |
Generators of the group modulo torsion |
j |
8765644213381203/227246080000 |
j-invariant |
L |
3.1602828031318 |
L(r)(E,1)/r! |
Ω |
0.43469055375376 |
Real period |
R |
3.6350948535734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830bx1 |
Quadratic twists by: -3 |