Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bh |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
122660438885820 = 22 · 32 · 5 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-143388,20879758] |
[a1,a2,a3,a4,a6] |
Generators |
[107:2547:1] |
Generators of the group modulo torsion |
j |
138268615211/52020 |
j-invariant |
L |
7.018262300343 |
L(r)(E,1)/r! |
Ω |
0.57763307986105 |
Real period |
R |
3.0375088205261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710ct2 |
Quadratic twists by: -11 |