Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300ba |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.44652421875E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-535800,414744500] |
[a1,a2,a3,a4,a6] |
Generators |
[1730:140625:8] |
Generators of the group modulo torsion |
j |
-5833703071744/22107421875 |
j-invariant |
L |
4.947659352968 |
L(r)(E,1)/r! |
Ω |
0.17147611280084 |
Real period |
R |
1.8033340299171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100d2 13860v2 |
Quadratic twists by: -3 5 |