Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650k |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-392006468000000000 = -1 · 211 · 59 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -2 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1096400,-443360000] |
[a1,a2,a3,a4,a6] |
j |
-79290863149681/213248000 |
j-invariant |
L |
0.29503074796731 |
L(r)(E,1)/r! |
Ω |
0.073757687028122 |
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 |
8330s1 5950e1 |
Quadratic twists by: 5 -7 |