Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1330d |
Isogeny class |
Conductor |
1330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-24582656000 = -1 · 212 · 53 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,41,7546] |
[a1,a2,a3,a4,a6] |
Generators |
[71:572:1] |
Generators of the group modulo torsion |
j |
7892485271/24582656000 |
j-invariant |
L |
2.2335447468672 |
L(r)(E,1)/r! |
Ω |
0.93937045471125 |
Real period |
R |
0.396283975022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10640j2 42560bl2 11970ch2 6650t2 |
Quadratic twists by: -4 8 -3 5 |