Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bn |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-53280000000000 = -1 · 214 · 32 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30208,-2041088] |
[a1,a2,a3,a4,a6] |
Generators |
[1898:16179:8] |
Generators of the group modulo torsion |
j |
-76215625/1332 |
j-invariant |
L |
4.8177501190713 |
L(r)(E,1)/r! |
Ω |
0.18087869698519 |
Real period |
R |
6.6588136129083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550bl1 44400dd1 |
Quadratic twists by: -4 5 |