Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175bc |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-1.1057485168146E+19 |
Discriminant |
Eigenvalues |
-1 2 5- 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,172362,-157527094] |
[a1,a2,a3,a4,a6] |
Generators |
[871099353564:10306455834382:1820316861] |
Generators of the group modulo torsion |
j |
163667323/3195731 |
j-invariant |
L |
4.2161915514543 |
L(r)(E,1)/r! |
Ω |
0.11054178451471 |
Real period |
R |
19.070578469326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21175bi1 1925l1 |
Quadratic twists by: 5 -11 |