Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930v |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
-134180002897920 = -1 · 213 · 33 · 5 · 72 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11098,-324204] |
[a1,a2,a3,a4,a6] |
j |
3084612735152711/2738367406080 |
j-invariant |
L |
1.6042256247987 |
L(r)(E,1)/r! |
Ω |
0.32084512495974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790ei1 27930z1 |
Quadratic twists by: -3 -7 |