Atkin-Lehner |
2- 3- 5- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
102510z |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
282312540000 = 25 · 36 · 54 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102992,-12696109] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:97:1] |
Generators of the group modulo torsion |
j |
165730601250224569/387260000 |
j-invariant |
L |
11.638743978322 |
L(r)(E,1)/r! |
Ω |
0.26650114056965 |
Real period |
R |
2.1836199161089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11390a2 |
Quadratic twists by: -3 |