Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850cc |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.4960004820841E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29683001,62520841898] |
[a1,a2,a3,a4,a6] |
Generators |
[2636:49617:1] |
Generators of the group modulo torsion |
j |
-1573398910560073969/8138108343750 |
j-invariant |
L |
4.8388908631557 |
L(r)(E,1)/r! |
Ω |
0.12530372577318 |
Real period |
R |
4.827161796297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bo4 11550d4 |
Quadratic twists by: 5 -7 |