Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680bb |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
3276712888400 = 24 · 52 · 710 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11041,-441666] |
[a1,a2,a3,a4,a6] |
Generators |
[3918:27440:27] |
Generators of the group modulo torsion |
j |
79082438656/1740725 |
j-invariant |
L |
4.4526538760112 |
L(r)(E,1)/r! |
Ω |
0.46636495373687 |
Real period |
R |
4.7737869593194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28420b1 16240s1 |
Quadratic twists by: -4 -7 |