Atkin-Lehner |
2- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51100o |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159840 |
Modular degree for the optimal curve |
Δ |
268386781250000 = 24 · 59 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17333,-381838] |
[a1,a2,a3,a4,a6] |
Generators |
[-115115931902:-41238982146:5061868813] |
Generators of the group modulo torsion |
j |
18429771776/8588377 |
j-invariant |
L |
8.586311099762 |
L(r)(E,1)/r! |
Ω |
0.43522261522258 |
Real period |
R |
19.728549940752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51100v1 |
Quadratic twists by: 5 |