Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bx |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-17396121600000000 = -1 · 220 · 33 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39176,6999540] |
[a1,a2,a3,a4,a6] |
j |
-1623435815226889/4247100000000 |
j-invariant |
L |
4.1251043212327 |
L(r)(E,1)/r! |
Ω |
0.34375869343529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290e1 102960ev1 |
Quadratic twists by: -4 -3 |