Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298x |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5149168548459077538 = -1 · 2 · 310 · 1110 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1001358,-400588754] |
[a1,a2,a3,a4,a6] |
Generators |
[41230:2878303:8] |
Generators of the group modulo torsion |
j |
-85982176079353/3987066402 |
j-invariant |
L |
2.4963108062568 |
L(r)(E,1)/r! |
Ω |
0.075257165936069 |
Real period |
R |
4.1463008209549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bk2 8118m2 |
Quadratic twists by: -3 -11 |