Atkin-Lehner |
3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21021g |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109760 |
Modular degree for the optimal curve |
Δ |
-253460561677323 = -1 · 3 · 79 · 115 · 13 |
Discriminant |
Eigenvalues |
0 3- -4 7- 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-88265,10092905] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:3601:1] |
Generators of the group modulo torsion |
j |
-1884568158208/6280989 |
j-invariant |
L |
3.0486088544193 |
L(r)(E,1)/r! |
Ω |
0.55596017870535 |
Real period |
R |
2.7417510922442 |
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 |
63063s1 21021f1 |
Quadratic twists by: -3 -7 |