Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992em |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
18726893050134528 = 228 · 38 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109164,-12221872] |
[a1,a2,a3,a4,a6] |
Generators |
[187012:3260088:343] |
Generators of the group modulo torsion |
j |
752825955673/97993728 |
j-invariant |
L |
8.6309516153684 |
L(r)(E,1)/r! |
Ω |
0.26490596478146 |
Real period |
R |
8.1452974435679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992df1 31248bj1 41664cg1 |
Quadratic twists by: -4 8 -3 |