Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984u |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-103145496640479216 = -1 · 24 · 39 · 75 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61347,16521703] |
[a1,a2,a3,a4,a6] |
Generators |
[143:-3267:1] |
Generators of the group modulo torsion |
j |
-1235663104/4991679 |
j-invariant |
L |
6.3786108838313 |
L(r)(E,1)/r! |
Ω |
0.29270227986672 |
Real period |
R |
0.68100456958535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968bz1 20328x1 5544w1 |
Quadratic twists by: -4 -3 -11 |