Atkin-Lehner |
3+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98049h |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
38191104 |
Modular degree for the optimal curve |
Δ |
-4.5619069735973E+27 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 4 -3 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-335424763,4018926080784] |
[a1,a2,a3,a4,a6] |
Generators |
[8524:1333804:1] |
Generators of the group modulo torsion |
j |
-35474872080668270841856000/38775569478680938567923 |
j-invariant |
L |
4.7059623052457 |
L(r)(E,1)/r! |
Ω |
0.039509758949894 |
Real period |
R |
4.2538878033014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007i1 |
Quadratic twists by: -7 |