Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bf |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
96650330112 = 216 · 36 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1737,23949] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1343:1] |
Generators of the group modulo torsion |
j |
2751936625/458752 |
j-invariant |
L |
4.3848274445329 |
L(r)(E,1)/r! |
Ω |
1.0188258362448 |
Real period |
R |
2.1519023608073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046p1 36414ba1 |
Quadratic twists by: -3 17 |