Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450bh |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
120590225000000 = 26 · 58 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -6 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17380,-701753] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:175:1] |
Generators of the group modulo torsion |
j |
315821241/65600 |
j-invariant |
L |
9.0206726286477 |
L(r)(E,1)/r! |
Ω |
0.42188939639439 |
Real period |
R |
1.781800458102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20090a1 2050f1 |
Quadratic twists by: 5 -7 |