Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80275w |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
-30271257224609375 = -1 · 59 · 138 · 19 |
Discriminant |
Eigenvalues |
1 -1 5- 2 3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-234575,-44621000] |
[a1,a2,a3,a4,a6] |
Generators |
[309459983761363760930:3437229229862965960035:495931725567192088] |
Generators of the group modulo torsion |
j |
-895973/19 |
j-invariant |
L |
6.8373059614077 |
L(r)(E,1)/r! |
Ω |
0.10833120630047 |
Real period |
R |
31.557416347989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80275y1 80275t1 |
Quadratic twists by: 5 13 |