Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dk |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-2852066700 = -1 · 22 · 311 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,310,1397] |
[a1,a2,a3,a4,a6] |
Generators |
[45:301:1] |
Generators of the group modulo torsion |
j |
181323455/156492 |
j-invariant |
L |
8.9458779194777 |
L(r)(E,1)/r! |
Ω |
0.92965656573541 |
Real period |
R |
1.2028471384978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24150bb1 72450ch1 |
Quadratic twists by: -3 5 |