Atkin-Lehner |
3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60705h |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-3064806960975 = -1 · 314 · 52 · 192 · 71 |
Discriminant |
Eigenvalues |
1 3- 5- 2 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4284,-135837] |
[a1,a2,a3,a4,a6] |
Generators |
[22434:146255:216] |
Generators of the group modulo torsion |
j |
-11928932826049/4204124775 |
j-invariant |
L |
8.2073121238517 |
L(r)(E,1)/r! |
Ω |
0.28991583854527 |
Real period |
R |
7.0773229956068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235k1 |
Quadratic twists by: -3 |