Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450n |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
482360900000000 = 28 · 58 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19626,-58852] |
[a1,a2,a3,a4,a6] |
Generators |
[-906:7211:8] [-83:1041:1] |
Generators of the group modulo torsion |
j |
454756609/262400 |
j-invariant |
L |
5.8104386679726 |
L(r)(E,1)/r! |
Ω |
0.43999128605101 |
Real period |
R |
3.3014509902766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20090j1 2050c1 |
Quadratic twists by: 5 -7 |