Atkin-Lehner |
2+ 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950a |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
284109020000000000 = 211 · 510 · 13 · 1033 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 3 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2813042,1816508116] |
[a1,a2,a3,a4,a6] |
Generators |
[825:7121:1] |
Generators of the group modulo torsion |
j |
157555084236760311921/18182977280000 |
j-invariant |
L |
3.6521604447976 |
L(r)(E,1)/r! |
Ω |
0.29638875578739 |
Real period |
R |
6.1610981762255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390h1 |
Quadratic twists by: 5 |