Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650i |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-213248000000000000 = -1 · 220 · 512 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 1 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2393500,1424450000] |
[a1,a2,a3,a4,a6] |
j |
-1980652037510828689/278528000000 |
j-invariant |
L |
1.2191291315516 |
L(r)(E,1)/r! |
Ω |
0.30478228285904 |
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 |
8330x1 41650c1 |
Quadratic twists by: 5 -7 |