Atkin-Lehner |
2+ 3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606p |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
3446178372 = 22 · 39 · 7 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1233,-16119] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:24:1] |
Generators of the group modulo torsion |
j |
284500822033/4727268 |
j-invariant |
L |
2.6772606683506 |
L(r)(E,1)/r! |
Ω |
0.80645451560973 |
Real period |
R |
0.82994781998936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20202l1 |
Quadratic twists by: -3 |