Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10725l |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
Δ |
-30146160490875 = -1 · 310 · 53 · 11 · 135 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 11- 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7298,354464] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:682:1] |
Generators of the group modulo torsion |
j |
-343941660422144/241169283927 |
j-invariant |
L |
2.7574370530124 |
L(r)(E,1)/r! |
Ω |
0.60922354391258 |
Real period |
R |
1.131537462958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
32175w2 10725e2 117975cm2 |
Quadratic twists by: -3 5 -11 |