Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360h |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-111271600 = -1 · 24 · 52 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,118,-119] |
[a1,a2,a3,a4,a6] |
Generators |
[540:12551:1] |
Generators of the group modulo torsion |
j |
11356637184/6954475 |
j-invariant |
L |
4.5114520368617 |
L(r)(E,1)/r! |
Ω |
1.0855943352084 |
Real period |
R |
4.1557439004097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16720m1 66880c1 75240bb1 41800t1 |
Quadratic twists by: -4 8 -3 5 |