Atkin-Lehner |
3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60705j |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
22828572700115625 = 37 · 55 · 196 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-145382,20095764] |
[a1,a2,a3,a4,a6] |
Generators |
[272:651:1] |
Generators of the group modulo torsion |
j |
466149583499568409/31314914540625 |
j-invariant |
L |
4.7243778819163 |
L(r)(E,1)/r! |
Ω |
0.37341692616399 |
Real period |
R |
2.5303501532287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235b1 |
Quadratic twists by: -3 |