Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576bh |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
-1.6490821136631E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 1 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1109376,-6194423808] |
[a1,a2,a3,a4,a6] |
j |
-6394640503489/698390001504 |
j-invariant |
L |
1.7529392660444 |
L(r)(E,1)/r! |
Ω |
0.054779352063896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822ba1 122304gp1 91728dh1 30576ct1 |
Quadratic twists by: -4 8 -3 -7 |