Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930bt |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
185734500 = 22 · 3 · 53 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19738,1065656] |
[a1,a2,a3,a4,a6] |
Generators |
[2145:-421:27] |
Generators of the group modulo torsion |
j |
2479176213198607/541500 |
j-invariant |
L |
5.5097843761821 |
L(r)(E,1)/r! |
Ω |
1.4260055794586 |
Real period |
R |
0.64396479877658 |
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 |
83790ek1 27930d1 |
Quadratic twists by: -3 -7 |