Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930o |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-150913208850390 = -1 · 2 · 39 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6542,622434] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:893:1] |
Generators of the group modulo torsion |
j |
-263251475929/1282741110 |
j-invariant |
L |
3.3315515007806 |
L(r)(E,1)/r! |
Ω |
0.501720897206 |
Real period |
R |
1.6600621577322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790dv1 3990n1 |
Quadratic twists by: -3 -7 |