Atkin-Lehner |
3- 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
61677h |
Isogeny class |
Conductor |
61677 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
852480 |
Modular degree for the optimal curve |
Δ |
-1.3009115725632E+19 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 11- 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-101982,173985133] |
[a1,a2,a3,a4,a6] |
Generators |
[-563:7276:1] |
Generators of the group modulo torsion |
j |
-160903969471627264/17845151887012219 |
j-invariant |
L |
5.0195424473656 |
L(r)(E,1)/r! |
Ω |
0.1840837689561 |
Real period |
R |
2.2723089945823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853a1 |
Quadratic twists by: -3 |