Atkin-Lehner |
2- 3+ 5- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830bu |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
333312 |
Modular degree for the optimal curve |
Δ |
-1457215488000 = -1 · 214 · 33 · 53 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1862,66261] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:219:1] [21:-201:1] |
Generators of the group modulo torsion |
j |
-26428973546403/53970944000 |
j-invariant |
L |
17.827661797314 |
L(r)(E,1)/r! |
Ω |
0.75730998789075 |
Real period |
R |
0.56049457249314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830d1 |
Quadratic twists by: -3 |