Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ff |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2981160000000000 = 212 · 32 · 510 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59008,4831988] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:3150:1] |
Generators of the group modulo torsion |
j |
355045312441/46580625 |
j-invariant |
L |
7.1022957177058 |
L(r)(E,1)/r! |
Ω |
0.43429761192614 |
Real period |
R |
2.0441902969909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000459 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6825c2 21840bp2 |
Quadratic twists by: -4 5 |