Atkin-Lehner |
2+ 3+ 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29670b |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
680960 |
Modular degree for the optimal curve |
Δ |
-1596925874995200000 = -1 · 219 · 34 · 55 · 234 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,229537,43741317] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:2456:1] |
Generators of the group modulo torsion |
j |
1337454016827337615751/1596925874995200000 |
j-invariant |
L |
1.5011420544401 |
L(r)(E,1)/r! |
Ω |
0.17853508811677 |
Real period |
R |
2.1020266523999 |
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 |
89010bz1 |
Quadratic twists by: -3 |