Atkin-Lehner |
5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1435c |
Isogeny class |
Conductor |
1435 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1176 |
Modular degree for the optimal curve |
Δ |
-45045546875 = -1 · 57 · 73 · 412 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- 3 -1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-180,-10194] |
[a1,a2,a3,a4,a6] |
Generators |
[235:-3588:1] |
Generators of the group modulo torsion |
j |
-648562364416/45045546875 |
j-invariant |
L |
1.3437342567234 |
L(r)(E,1)/r! |
Ω |
0.50091559934062 |
Real period |
R |
0.063870386191292 |
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 |
22960o1 91840i1 12915m1 7175b1 |
Quadratic twists by: -4 8 -3 5 |