Atkin-Lehner |
2+ 3+ 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930i |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
-230212368000 = -1 · 27 · 39 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 3 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,298,23124] |
[a1,a2,a3,a4,a6] |
j |
2911343039639/230212368000 |
j-invariant |
L |
2.2761219029104 |
L(r)(E,1)/r! |
Ω |
0.75870730097014 |
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 |
65790cb1 109650cr1 |
Quadratic twists by: -3 5 |