Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29412a |
Isogeny class |
Conductor |
29412 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-210210975792 = -1 · 24 · 39 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7344,-243243] |
[a1,a2,a3,a4,a6] |
j |
-139094654976/667489 |
j-invariant |
L |
2.062299380147 |
L(r)(E,1)/r! |
Ω |
0.25778742251831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648s1 29412b1 |
Quadratic twists by: -4 -3 |