Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bu |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2509056 |
Modular degree for the optimal curve |
Δ |
3.1278411915884E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3234635,-2072536135] |
[a1,a2,a3,a4,a6] |
Generators |
[-847:8198:1] |
Generators of the group modulo torsion |
j |
1587323326642451/132651000000 |
j-invariant |
L |
8.8324112921531 |
L(r)(E,1)/r! |
Ω |
0.11317386958731 |
Real period |
R |
4.335713871181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710l1 |
Quadratic twists by: -11 |