Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400bv |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
375700000000 = 28 · 58 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -1 5- -4 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7333,-237463] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:34:1] |
Generators of the group modulo torsion |
j |
436142080/3757 |
j-invariant |
L |
2.7957497768609 |
L(r)(E,1)/r! |
Ω |
0.51617848344288 |
Real period |
R |
1.3540615624907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22100i1 88400bq1 |
Quadratic twists by: -4 5 |