Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bn |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-73104686678016000 = -1 · 218 · 32 · 53 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305536,-66191360] |
[a1,a2,a3,a4,a6] |
Generators |
[1536:55552:1] |
Generators of the group modulo torsion |
j |
-770109270718854529/17847823896000 |
j-invariant |
L |
5.5117463144968 |
L(r)(E,1)/r! |
Ω |
0.10139314814129 |
Real period |
R |
3.3975091108481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030t1 |
Quadratic twists by: -4 |