Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368g |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
151652906258832 = 24 · 32 · 118 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 11- 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31500,-2058219] |
[a1,a2,a3,a4,a6] |
j |
1007877376/44217 |
j-invariant |
L |
1.4373319742611 |
L(r)(E,1)/r! |
Ω |
0.35933299368302 |
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 |
98736bd1 49368bb1 |
Quadratic twists by: -4 -11 |