Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920y |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
66690000 = 24 · 33 · 54 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222,-1211] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:3:1] |
Generators of the group modulo torsion |
j |
2800908288/154375 |
j-invariant |
L |
6.5602143252538 |
L(r)(E,1)/r! |
Ω |
1.2410818284903 |
Real period |
R |
1.3214709481451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88920c1 |
Quadratic twists by: -3 |