Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930bg |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
691488 |
Modular degree for the optimal curve |
Δ |
-7336058763560625000 = -1 · 23 · 37 · 57 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-128504,131503502] |
[a1,a2,a3,a4,a6] |
j |
-830784514441/25970625000 |
j-invariant |
L |
1.3743584365634 |
L(r)(E,1)/r! |
Ω |
0.19633691950908 |
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 |
83790fp1 27930k1 |
Quadratic twists by: -3 -7 |