Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bf |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
108659540411296875 = 35 · 56 · 72 · 112 · 136 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1575013,760510142] |
[a1,a2,a3,a4,a6] |
Generators |
[797:-3811:1] |
Generators of the group modulo torsion |
j |
27653883672870015625/6954210586323 |
j-invariant |
L |
3.9509624853216 |
L(r)(E,1)/r! |
Ω |
0.32593209089723 |
Real period |
R |
0.20203403278602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3003d2 |
Quadratic twists by: 5 |