Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930co |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
2208149375040 = 26 · 32 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5195,-127303] |
[a1,a2,a3,a4,a6] |
j |
384240583/54720 |
j-invariant |
L |
3.4060702609781 |
L(r)(E,1)/r! |
Ω |
0.56767837682963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790bd1 27930df1 |
Quadratic twists by: -3 -7 |