Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ca |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-528768000 = -1 · 210 · 35 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 5 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153,1377] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:45:1] |
Generators of the group modulo torsion |
j |
-3114752/4131 |
j-invariant |
L |
6.5960841314957 |
L(r)(E,1)/r! |
Ω |
1.4857189003523 |
Real period |
R |
2.2198291107112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600js1 5100r1 81600el1 |
Quadratic twists by: -4 8 5 |