Atkin-Lehner |
2+ 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21576d |
Isogeny class |
Conductor |
21576 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1010688 |
Modular degree for the optimal curve |
Δ |
-2.0427436486281E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 -2 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2759648,1271751881] |
[a1,a2,a3,a4,a6] |
Generators |
[1172:78213:1] |
Generators of the group modulo torsion |
j |
145266222352610362318592/127671478039257815151 |
j-invariant |
L |
5.1307624722468 |
L(r)(E,1)/r! |
Ω |
0.095767241720633 |
Real period |
R |
0.23917562202598 |
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 |
43152a1 64728p1 |
Quadratic twists by: -4 -3 |