Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bf |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6882466500000000 = 28 · 32 · 59 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63708,-4709088] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:1176:1] |
Generators of the group modulo torsion |
j |
57192942224/13764933 |
j-invariant |
L |
5.7147478985258 |
L(r)(E,1)/r! |
Ω |
0.30576081945478 |
Real period |
R |
1.5575213053951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bd2 109200cf2 |
Quadratic twists by: -4 5 |