Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008ck |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.6975080490589E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,239008,-625155468] |
[a1,a2,a3,a4,a6] |
Generators |
[60868:1377585:64] |
Generators of the group modulo torsion |
j |
368637286278891167/41443067603976192 |
j-invariant |
L |
9.6947682116546 |
L(r)(E,1)/r! |
Ω |
0.085800891224466 |
Real period |
R |
4.7079776182574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626l1 |
Quadratic twists by: -4 |