Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984j |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
7560852731663616 = 28 · 39 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143748,-20555964] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:242:1] |
Generators of the group modulo torsion |
j |
304128/7 |
j-invariant |
L |
6.8332655517051 |
L(r)(E,1)/r! |
Ω |
0.2455318274567 |
Real period |
R |
1.1596028137939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968f1 60984bs1 60984bn1 |
Quadratic twists by: -4 -3 -11 |