Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bi |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.970577042791E+19 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,170519,-302012087] |
[a1,a2,a3,a4,a6] |
Generators |
[18450443854112231777855880:-856917020582458642742732083:8604690205773936448000] |
Generators of the group modulo torsion |
j |
133868854905367616/9693791608376547 |
j-invariant |
L |
7.8958471479684 |
L(r)(E,1)/r! |
Ω |
0.097343193142169 |
Real period |
R |
40.556750278496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bw2 45024n1 |
Quadratic twists by: -4 8 |