Atkin-Lehner |
2- 3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850bt |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
24772608 |
Modular degree for the optimal curve |
Δ |
-3.5536589244E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54830813,-180708891469] |
[a1,a2,a3,a4,a6] |
Generators |
[10415:609692:1] |
Generators of the group modulo torsion |
j |
-1166749820684838378998281/227434171161600000000 |
j-invariant |
L |
7.1546933028632 |
L(r)(E,1)/r! |
Ω |
0.02745143947 |
Real period |
R |
2.7149051779888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770l1 |
Quadratic twists by: 5 |