Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925x |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
-1.567625427105E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28210495,-17405780128] |
[a1,a2,a3,a4,a6] |
Generators |
[780:70831:1] |
Generators of the group modulo torsion |
j |
217975805967584185919/137624180157363375 |
j-invariant |
L |
2.3284186119442 |
L(r)(E,1)/r! |
Ω |
0.048610885029842 |
Real period |
R |
2.9936949956203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9975l1 5985n1 |
Quadratic twists by: -3 5 |