Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175q |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-14919865296875 = -1 · 56 · 72 · 117 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-270233,-53980257] |
[a1,a2,a3,a4,a6] |
Generators |
[851:18210:1] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
2.5779655211603 |
L(r)(E,1)/r! |
Ω |
0.10469709974879 |
Real period |
R |
3.0778855471472 |
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 |
847a1 1925a1 |
Quadratic twists by: 5 -11 |