Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920bp |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-973780704000 = -1 · 28 · 36 · 53 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55767,-5069126] |
[a1,a2,a3,a4,a6] |
Generators |
[273:230:1] |
Generators of the group modulo torsion |
j |
-102775137127504/5217875 |
j-invariant |
L |
7.5962608206539 |
L(r)(E,1)/r! |
Ω |
0.15533664309041 |
Real period |
R |
4.0751603916032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880b1 |
Quadratic twists by: -3 |