Atkin-Lehner |
2+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304b |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-71823701777408 = -1 · 210 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ -3 -2 7+ -2 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33676,2413336] |
[a1,a2,a3,a4,a6] |
Generators |
[221:2401:1] |
Generators of the group modulo torsion |
j |
-4124632486295808/70140333767 |
j-invariant |
L |
1.7884930630083 |
L(r)(E,1)/r! |
Ω |
0.61606549042819 |
Real period |
R |
1.4515445929013 |
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 |
10304bl1 1288g1 92736bn1 72128j1 |
Quadratic twists by: -4 8 -3 -7 |