Atkin-Lehner |
2+ 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950c |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-217587500000000 = -1 · 28 · 511 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 0 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4876,-722102] |
[a1,a2,a3,a4,a6] |
Generators |
[113:359:1] |
Generators of the group modulo torsion |
j |
-820288712881/13925600000 |
j-invariant |
L |
4.8459180655559 |
L(r)(E,1)/r! |
Ω |
0.24097796946934 |
Real period |
R |
2.5136727622352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390j1 |
Quadratic twists by: 5 |