Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450en |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
1589457945600000000 = 216 · 36 · 58 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-303230,-21167603] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:4675:1] |
Generators of the group modulo torsion |
j |
270701905514769/139540889600 |
j-invariant |
L |
11.585071199094 |
L(r)(E,1)/r! |
Ω |
0.21512256083458 |
Real period |
R |
0.56097242663408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050h1 14490t1 |
Quadratic twists by: -3 5 |