Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710p |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
243293432500800 = 26 · 33 · 52 · 117 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24202,1229716] |
[a1,a2,a3,a4,a6] |
Generators |
[17:899:1] |
Generators of the group modulo torsion |
j |
885012508801/137332800 |
j-invariant |
L |
5.0728891676079 |
L(r)(E,1)/r! |
Ω |
0.53196469316187 |
Real period |
R |
1.1920173539245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bd1 |
Quadratic twists by: -11 |