Atkin-Lehner |
2+ 3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152a |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2021376 |
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 |
[7846219345:425906048079:4330747] |
Generators of the group modulo torsion |
j |
145266222352610362318592/127671478039257815151 |
j-invariant |
L |
4.0790605229991 |
L(r)(E,1)/r! |
Ω |
0.080938729599612 |
Real period |
R |
12.599223335887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21576d1 129456m1 |
Quadratic twists by: -4 -3 |