Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
62040n |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-6615402750000 = -1 · 24 · 32 · 56 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5431,-195800] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2875:1] |
Generators of the group modulo torsion |
j |
-1107447383087104/413462671875 |
j-invariant |
L |
3.0465938067922 |
L(r)(E,1)/r! |
Ω |
0.27298171420061 |
Real period |
R |
2.7901079527216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080s1 |
Quadratic twists by: -4 |