Atkin-Lehner |
2+ 3- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840l |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-7751208480468750000 = -1 · 24 · 32 · 512 · 115 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,290445,119732850] |
[a1,a2,a3,a4,a6] |
j |
169353410768662452224/484450530029296875 |
j-invariant |
L |
3.9511104246758 |
L(r)(E,1)/r! |
Ω |
0.16462960104028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680j1 |
Quadratic twists by: -4 |