Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215u |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
14248426271625 = 32 · 53 · 78 · 133 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16416,782088] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:959:1] |
Generators of the group modulo torsion |
j |
1892819053/55125 |
j-invariant |
L |
3.0003433511894 |
L(r)(E,1)/r! |
Ω |
0.70084603381949 |
Real period |
R |
1.0702576540751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745y1 124215bm1 |
Quadratic twists by: -7 13 |