Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850cb |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
605566057851562500 = 22 · 32 · 510 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-312401,55786448] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:11166:1] |
Generators of the group modulo torsion |
j |
1834216913521/329422500 |
j-invariant |
L |
5.9936970749441 |
L(r)(E,1)/r! |
Ω |
0.27566672460192 |
Real period |
R |
2.7178185371636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002212 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170bj4 1650a3 |
Quadratic twists by: 5 -7 |