Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bf |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1995840 |
Modular degree for the optimal curve |
Δ |
-6.0591721452616E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,663957,-311225642] |
[a1,a2,a3,a4,a6] |
Generators |
[3134:-181995:1] |
Generators of the group modulo torsion |
j |
24320161737371916109/45523457139456000 |
j-invariant |
L |
6.2448936155402 |
L(r)(E,1)/r! |
Ω |
0.10319340850999 |
Real period |
R |
0.48028889110024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61710cr1 |
Quadratic twists by: -11 |