Atkin-Lehner |
2+ 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150bp |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
85266920025000000 = 26 · 38 · 58 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-243751,-44158102] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:836:1] [-308:1466:1] |
Generators of the group modulo torsion |
j |
102503889073404001/5457082881600 |
j-invariant |
L |
10.327762326152 |
L(r)(E,1)/r! |
Ω |
0.2155756430949 |
Real period |
R |
2.9942396841091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984878 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21630q2 |
Quadratic twists by: 5 |