Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320bt |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
35987128320 = 224 · 3 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1056,9204] |
[a1,a2,a3,a4,a6] |
Generators |
[3428:21147:64] |
Generators of the group modulo torsion |
j |
31824875809/8785920 |
j-invariant |
L |
7.4392798999781 |
L(r)(E,1)/r! |
Ω |
1.0801648479885 |
Real period |
R |
6.8871708923243 |
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 |
4290t1 102960en1 |
Quadratic twists by: -4 -3 |