Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410s |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
11166294243000 = 23 · 3 · 53 · 134 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17271,857265] |
[a1,a2,a3,a4,a6] |
Generators |
[464:9401:1] |
Generators of the group modulo torsion |
j |
569741344708447729/11166294243000 |
j-invariant |
L |
6.7207248882931 |
L(r)(E,1)/r! |
Ω |
0.71836657764526 |
Real period |
R |
3.1185215169313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59280z4 22230r4 37050i4 96330bq4 |
Quadratic twists by: -4 -3 5 13 |