Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850o |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8007485062500 = 22 · 32 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26975,1688625] |
[a1,a2,a3,a4,a6] |
Generators |
[2955:-8215:27] [-85:1880:1] |
Generators of the group modulo torsion |
j |
1180932193/4356 |
j-invariant |
L |
6.7737948624289 |
L(r)(E,1)/r! |
Ω |
0.74172755994508 |
Real period |
R |
1.1415570939257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998596 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3234t2 1650f2 |
Quadratic twists by: 5 -7 |