Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414cc |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-161106496614 = -1 · 2 · 39 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-488,19873] |
[a1,a2,a3,a4,a6] |
j |
-7803/98 |
j-invariant |
L |
3.4712478687883 |
L(r)(E,1)/r! |
Ω |
0.8678119671955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414m1 36414bs1 |
Quadratic twists by: -3 17 |