Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3654j |
Isogeny class |
Conductor |
3654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-7570422972 = -1 · 22 · 38 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -4 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,405,2673] |
[a1,a2,a3,a4,a6] |
j |
10063705679/10384668 |
j-invariant |
L |
1.7431787251737 |
L(r)(E,1)/r! |
Ω |
0.87158936258684 |
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 |
29232bs1 116928bv1 1218j1 91350em1 |
Quadratic twists by: -4 8 -3 5 |