Atkin-Lehner |
3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31365c |
Isogeny class |
Conductor |
31365 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9382428636932205 = 38 · 5 · 178 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104220,12108631] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:4637:1] |
Generators of the group modulo torsion |
j |
171732200292688321/12870272478645 |
j-invariant |
L |
5.8582625432458 |
L(r)(E,1)/r! |
Ω |
0.40110965266971 |
Real period |
R |
1.8256424721563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10455b3 |
Quadratic twists by: -3 |