Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69264o |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
65439518976 = 28 · 312 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -6 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1119,-7490] |
[a1,a2,a3,a4,a6] |
Generators |
[42:140:1] |
Generators of the group modulo torsion |
j |
830321872/350649 |
j-invariant |
L |
6.9933725837485 |
L(r)(E,1)/r! |
Ω |
0.85721794883406 |
Real period |
R |
4.0791099818147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34632o1 23088j1 |
Quadratic twists by: -4 -3 |