Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870z |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-1.8508011397183E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2375750,2503168067] |
[a1,a2,a3,a4,a6] |
j |
-10017490085065009/12502381363200 |
j-invariant |
L |
3.7550532979937 |
L(r)(E,1)/r! |
Ω |
0.13410904635692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126960cu1 47610l1 79350bb1 690g1 |
Quadratic twists by: -4 -3 5 -23 |