Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bd |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
2201437792512 = 28 · 36 · 74 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6837,-203851] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:87:1] |
Generators of the group modulo torsion |
j |
9869198625/614656 |
j-invariant |
L |
4.5770622923287 |
L(r)(E,1)/r! |
Ω |
0.5270734250937 |
Real period |
R |
1.0854897236362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046o1 36414p1 |
Quadratic twists by: -3 17 |