Atkin-Lehner |
2+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150s |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345216 |
Modular degree for the optimal curve |
Δ |
-2371090382848000 = -1 · 231 · 53 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6880,-2329600] |
[a1,a2,a3,a4,a6] |
j |
288058290181507/18968723062784 |
j-invariant |
L |
3.5070670336503 |
L(r)(E,1)/r! |
Ω |
0.21919168959413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150bm1 |
Quadratic twists by: 5 |