Atkin-Lehner |
2+ 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101680d |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33351040000 = 210 · 54 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1003,-8502] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:54:1] |
Generators of the group modulo torsion |
j |
108974918916/32569375 |
j-invariant |
L |
5.9564321830605 |
L(r)(E,1)/r! |
Ω |
0.86792817970657 |
Real period |
R |
3.4314084451815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50840i2 |
Quadratic twists by: -4 |