Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bv |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-12528746496 = -1 · 215 · 33 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1304,19227] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:117:1] [17:-51:1] |
Generators of the group modulo torsion |
j |
-31403829411/1605632 |
j-invariant |
L |
10.427844708666 |
L(r)(E,1)/r! |
Ω |
1.2504329439932 |
Real period |
R |
0.13898978961325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414e2 36414ce1 |
Quadratic twists by: -3 17 |