Atkin-Lehner |
2+ 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13330a |
Isogeny class |
Conductor |
13330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-364580938640 = -1 · 24 · 5 · 31 · 435 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 3 -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2953,67996] |
[a1,a2,a3,a4,a6] |
j |
-2846443870548361/364580938640 |
j-invariant |
L |
1.8527257415126 |
L(r)(E,1)/r! |
Ω |
0.92636287075631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106640d1 119970br1 66650k1 |
Quadratic twists by: -4 -3 5 |