Atkin-Lehner |
2+ 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
1602b |
Isogeny class |
Conductor |
1602 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-265752576 = -1 · 212 · 36 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 6 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54,756] |
[a1,a2,a3,a4,a6] |
Generators |
[4:30:1] |
Generators of the group modulo torsion |
j |
23639903/364544 |
j-invariant |
L |
1.7273497542082 |
L(r)(E,1)/r! |
Ω |
1.2954539113182 |
Real period |
R |
0.66669672271497 |
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 |
12816m1 51264u1 178a1 40050bi1 |
Quadratic twists by: -4 8 -3 5 |