Atkin-Lehner |
2- 3+ 5+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
36210o |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
67811191200 = 25 · 35 · 52 · 173 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35456,-2584447] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:59:1] |
Generators of the group modulo torsion |
j |
4929395835177658369/67811191200 |
j-invariant |
L |
4.4838005228269 |
L(r)(E,1)/r! |
Ω |
0.3479184138048 |
Real period |
R |
1.2887505647639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108630e1 |
Quadratic twists by: -3 |