Atkin-Lehner |
2+ 3- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330m |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
72289918125000000 = 26 · 38 · 510 · 172 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54154530,153404687700] |
[a1,a2,a3,a4,a6] |
Generators |
[1905:238110:1] |
Generators of the group modulo torsion |
j |
24093537054286021232885281/99163125000000 |
j-invariant |
L |
2.8973623962236 |
L(r)(E,1)/r! |
Ω |
0.23220988608407 |
Real period |
R |
1.5596678731199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110y2 |
Quadratic twists by: -3 |