Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600bz |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-260340480000 = -1 · 211 · 38 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-24550] |
[a1,a2,a3,a4,a6] |
Generators |
[31:54:1] |
Generators of the group modulo torsion |
j |
-50/279 |
j-invariant |
L |
5.7579444232486 |
L(r)(E,1)/r! |
Ω |
0.44639806257341 |
Real period |
R |
1.6123346257226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800ch1 37200k1 111600z1 |
Quadratic twists by: -4 -3 5 |