Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600bb |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
19872000 = 28 · 33 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1028,12348] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:120:1] |
Generators of the group modulo torsion |
j |
3758161808/621 |
j-invariant |
L |
6.7910538380426 |
L(r)(E,1)/r! |
Ω |
2.095333384317 |
Real period |
R |
1.0803457958642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13800s1 110400gu1 82800ca1 27600o1 |
Quadratic twists by: -4 8 -3 5 |