Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904b |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-47686284214272 = -1 · 219 · 32 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12033,611073] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:1056:1] |
Generators of the group modulo torsion |
j |
-735091890625/181908738 |
j-invariant |
L |
5.1964754116907 |
L(r)(E,1)/r! |
Ω |
0.60619338200626 |
Real period |
R |
1.0715383007179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904ct2 1122l2 107712cd2 |
Quadratic twists by: -4 8 -3 |