Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414be |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
58630830952932 = 22 · 36 · 72 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46872,3900204] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:2688:1] |
Generators of the group modulo torsion |
j |
647214625/3332 |
j-invariant |
L |
3.9792114509152 |
L(r)(E,1)/r! |
Ω |
0.62881619967955 |
Real period |
R |
0.79101243196006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046q1 2142e1 |
Quadratic twists by: -3 17 |