Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710br |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
251328 |
Modular degree for the optimal curve |
Δ |
-34983369379200 = -1 · 27 · 3 · 52 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41566,3256859] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:2455:1] |
Generators of the group modulo torsion |
j |
-37050799489/163200 |
j-invariant |
L |
7.569022423369 |
L(r)(E,1)/r! |
Ω |
0.65629366980961 |
Real period |
R |
0.27459478568134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61710f1 |
Quadratic twists by: -11 |