Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bb |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-22929227776 = -1 · 214 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 2 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,676,-2704] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] [13:91:1] |
Generators of the group modulo torsion |
j |
73008/49 |
j-invariant |
L |
8.9133384817347 |
L(r)(E,1)/r! |
Ω |
0.68340658412767 |
Real period |
R |
1.0868759887028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712bu1 4732e1 75712c1 |
Quadratic twists by: -4 8 13 |