Atkin-Lehner |
5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825i |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
131020472208925 = 52 · 137 · 174 |
Discriminant |
Eigenvalues |
2 3 5+ -2 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-39715,-2996159] |
[a1,a2,a3,a4,a6] |
Generators |
[-159498612:62912285:1259712] |
Generators of the group modulo torsion |
j |
57409966080/1085773 |
j-invariant |
L |
21.275224865996 |
L(r)(E,1)/r! |
Ω |
0.33857878343809 |
Real period |
R |
7.8546064854363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71825s1 5525f1 |
Quadratic twists by: 5 13 |