Atkin-Lehner |
2+ 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23664b |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-648625195073354496 = -1 · 28 · 3 · 175 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 -3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,145223,32320021] |
[a1,a2,a3,a4,a6] |
Generators |
[5888148:771643571:343] |
Generators of the group modulo torsion |
j |
1323082632326362112/2533692168255291 |
j-invariant |
L |
3.4143793289034 |
L(r)(E,1)/r! |
Ω |
0.19840330980901 |
Real period |
R |
8.6046430681781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11832a1 94656bx1 70992i1 |
Quadratic twists by: -4 8 -3 |