Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bl |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-483225600 = -1 · 212 · 3 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,-2000] |
[a1,a2,a3,a4,a6] |
Generators |
[42:242:1] |
Generators of the group modulo torsion |
j |
-594823321/117975 |
j-invariant |
L |
4.7377141873118 |
L(r)(E,1)/r! |
Ω |
0.57720641082958 |
Real period |
R |
2.0520017182856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2145f1 102960dg1 |
Quadratic twists by: -4 -3 |