Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9300c |
Isogeny class |
Conductor |
9300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-5429409750000 = -1 · 24 · 36 · 56 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6272858,-6044997663] |
[a1,a2,a3,a4,a6] |
Generators |
[5396:342333:1] |
Generators of the group modulo torsion |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
3.804707445323 |
L(r)(E,1)/r! |
Ω |
0.047698331671214 |
Real period |
R |
4.4314471480528 |
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 |
37200cq2 27900i2 372c2 |
Quadratic twists by: -4 -3 5 |