Atkin-Lehner |
2+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3658a |
Isogeny class |
Conductor |
3658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
880 |
Modular degree for the optimal curve |
Δ |
-1814368 = -1 · 25 · 312 · 59 |
Discriminant |
Eigenvalues |
2+ -2 0 -5 3 -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,-84] |
[a1,a2,a3,a4,a6] |
Generators |
[8:11:1] |
Generators of the group modulo torsion |
j |
-1838265625/1814368 |
j-invariant |
L |
1.4566304267329 |
L(r)(E,1)/r! |
Ω |
1.0212392436788 |
Real period |
R |
0.71316806309054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29264d1 117056f1 32922j1 91450p1 |
Quadratic twists by: -4 8 -3 5 |