Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600l |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-179712000 = -1 · 212 · 33 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] [20:100:1] |
Generators of the group modulo torsion |
j |
13824/13 |
j-invariant |
L |
10.705323593461 |
L(r)(E,1)/r! |
Ω |
0.98513855798095 |
Real period |
R |
1.3583525265038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600cz1 93600db1 93600df1 |
Quadratic twists by: -4 -3 5 |