Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850n |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
108719200922500000 = 25 · 57 · 72 · 316 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1029817,402187341] |
[a1,a2,a3,a4,a6] |
Generators |
[379:7948:1] |
Generators of the group modulo torsion |
j |
7730081871906369249/6958028859040 |
j-invariant |
L |
2.9887510376516 |
L(r)(E,1)/r! |
Ω |
0.33204301134169 |
Real period |
R |
0.75009133745829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800x2 97650ee2 2170j2 75950i2 |
Quadratic twists by: -4 -3 5 -7 |