Atkin-Lehner |
2+ 3+ 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498b |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-65404416 = -1 · 29 · 3 · 72 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,88,-192] |
[a1,a2,a3,a4,a6] |
Generators |
[3:9:1] |
Generators of the group modulo torsion |
j |
74035092599/65404416 |
j-invariant |
L |
3.0578902904255 |
L(r)(E,1)/r! |
Ω |
1.0777012385939 |
Real period |
R |
1.4187096483317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494bo1 |
Quadratic twists by: -3 |