Atkin-Lehner |
5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41905d |
Isogeny class |
Conductor |
41905 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-8477254351388045 = -1 · 5 · 1710 · 292 |
Discriminant |
Eigenvalues |
1 -1 5- -3 0 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-210542,-37534811] |
[a1,a2,a3,a4,a6] |
j |
-511981129/4205 |
j-invariant |
L |
0.22276742616815 |
L(r)(E,1)/r! |
Ω |
0.11138371317427 |
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 |
41905c1 |
Quadratic twists by: 17 |