Atkin-Lehner |
2+ 3- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38184c |
Isogeny class |
Conductor |
38184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-2257011641088 = -1 · 28 · 34 · 372 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 5 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-455929,118341515] |
[a1,a2,a3,a4,a6] |
Generators |
[383:222:1] |
Generators of the group modulo torsion |
j |
-40942687852426365952/8816451723 |
j-invariant |
L |
6.6507515759116 |
L(r)(E,1)/r! |
Ω |
0.65087475839218 |
Real period |
R |
0.3193179395382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76368a1 114552g1 |
Quadratic twists by: -4 -3 |