Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838s |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
139952990032219152 = 24 · 310 · 177 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -6 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-140508,9362304] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:5340:1] |
Generators of the group modulo torsion |
j |
17434421857/7953552 |
j-invariant |
L |
2.2167765677496 |
L(r)(E,1)/r! |
Ω |
0.29321512733054 |
Real period |
R |
0.94502993515338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999350959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32946w1 5814i1 |
Quadratic twists by: -3 17 |