Atkin-Lehner |
2+ 3+ 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190b |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-5777759600640 = -1 · 216 · 36 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3467,86317] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:277:1] |
Generators of the group modulo torsion |
j |
4606695382514471/5777759600640 |
j-invariant |
L |
2.8818062585403 |
L(r)(E,1)/r! |
Ω |
0.5090577006842 |
Real period |
R |
2.8305300702339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570cb1 |
Quadratic twists by: -3 |