Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280k |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
887932631250000 = 24 · 35 · 58 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60775,-5565548] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:45:1] |
Generators of the group modulo torsion |
j |
1551621461335545856/55495789453125 |
j-invariant |
L |
3.7870603756198 |
L(r)(E,1)/r! |
Ω |
0.30473444948473 |
Real period |
R |
3.1068528533804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560bz1 114240dg1 42840bn1 71400dq1 |
Quadratic twists by: -4 8 -3 5 |