Atkin-Lehner |
2+ 3+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
108936b |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
246272 |
Modular degree for the optimal curve |
Δ |
-7372464286464 = -1 · 28 · 33 · 17 · 894 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 -1 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1884,126788] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:18:1] [-23:267:1] |
Generators of the group modulo torsion |
j |
106994801664/1066618097 |
j-invariant |
L |
13.10365609077 |
L(r)(E,1)/r! |
Ω |
0.54626445393045 |
Real period |
R |
0.74961724111409 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108936l1 |
Quadratic twists by: -3 |