Atkin-Lehner |
2- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728x |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-7.3903253022618E+19 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-514904,437546480] |
[a1,a2,a3,a4,a6] |
Generators |
[172:18816:1] |
Generators of the group modulo torsion |
j |
-3685898778231675097/18042786382475008 |
j-invariant |
L |
7.070652815463 |
L(r)(E,1)/r! |
Ω |
0.1683636621105 |
Real period |
R |
1.4998682712913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4466a1 |
Quadratic twists by: -4 |