Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bm |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.2377901257825E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83447800,-239684052112] |
[a1,a2,a3,a4,a6] |
Generators |
[79059629429:4709981707236:6539203] |
Generators of the group modulo torsion |
j |
266716694084614489298/51372277695070605 |
j-invariant |
L |
9.3470358192085 |
L(r)(E,1)/r! |
Ω |
0.050619878221393 |
Real period |
R |
15.387623975601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920b3 |
Quadratic twists by: -7 |