Atkin-Lehner |
3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
60435f |
Isogeny class |
Conductor |
60435 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
-44057115 = -1 · 38 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3- 5- -2 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,-320] |
[a1,a2,a3,a4,a6] |
Generators |
[14:47:1] |
Generators of the group modulo torsion |
j |
-262144/60435 |
j-invariant |
L |
5.3011104635534 |
L(r)(E,1)/r! |
Ω |
0.90446647651462 |
Real period |
R |
2.9305179358601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20145b1 |
Quadratic twists by: -3 |