Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800cl |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
61725888000000000 = 215 · 39 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175500,25650000] |
[a1,a2,a3,a4,a6] |
Generators |
[354:2808:1] |
Generators of the group modulo torsion |
j |
474552/49 |
j-invariant |
L |
7.3696275526731 |
L(r)(E,1)/r! |
Ω |
0.33992312504984 |
Real period |
R |
2.710034638466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800bt2 50400ct2 100800cn2 100800br2 |
Quadratic twists by: -4 8 -3 5 |