Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
408d |
Isogeny class |
Conductor |
408 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-1057536 = -1 · 28 · 35 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 1 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,51] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-18:1] |
Generators of the group modulo torsion |
j |
-2249728/4131 |
j-invariant |
L |
1.7688362275152 |
L(r)(E,1)/r! |
Ω |
2.4678501327188 |
Real period |
R |
0.035837594108004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
816c1 3264j1 1224g1 10200y1 |
Quadratic twists by: -4 8 -3 5 |