Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
129430f |
Isogeny class |
Conductor |
129430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2247168 |
Modular degree for the optimal curve |
Δ |
-2.4939466296512E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -1 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46264,240297862] |
[a1,a2,a3,a4,a6] |
Generators |
[-1518:421393:27] |
Generators of the group modulo torsion |
j |
-1732323601/3945267200 |
j-invariant |
L |
4.9028189558703 |
L(r)(E,1)/r! |
Ω |
0.1707800295582 |
Real period |
R |
3.5885482540019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998791603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3010h1 |
Quadratic twists by: -43 |