Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7600q |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-14101562500000000 = -1 · 28 · 516 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22092,-5579188] |
[a1,a2,a3,a4,a6] |
Generators |
[761296578:77175608831:74088] |
Generators of the group modulo torsion |
j |
298091207216/3525390625 |
j-invariant |
L |
5.9383894683033 |
L(r)(E,1)/r! |
Ω |
0.19469035444254 |
Real period |
R |
15.250856893519 |
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 |
1900a2 30400bi2 68400fg2 1520i2 |
Quadratic twists by: -4 8 -3 5 |