Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600fn |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
10088193600000000 = 212 · 38 · 58 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54075,270250] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1512:1] [-145:2250:1] |
Generators of the group modulo torsion |
j |
374805361/216225 |
j-invariant |
L |
9.8631992130178 |
L(r)(E,1)/r! |
Ω |
0.34650311258942 |
Real period |
R |
3.5581207104398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6975g2 37200di2 22320bt2 |
Quadratic twists by: -4 -3 5 |