Atkin-Lehner |
2+ 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950f |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
3347500000 = 25 · 57 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -3 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-651,-5802] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:21:1] [-114:253:8] |
Generators of the group modulo torsion |
j |
1948441249/214240 |
j-invariant |
L |
9.1038752606549 |
L(r)(E,1)/r! |
Ω |
0.95207836801664 |
Real period |
R |
2.3905267587508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390d1 |
Quadratic twists by: 5 |