Atkin-Lehner |
7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38437h |
Isogeny class |
Conductor |
38437 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
287232 |
Modular degree for the optimal curve |
Δ |
-772837191130949 = -1 · 73 · 179 · 19 |
Discriminant |
Eigenvalues |
-1 1 -1 7- 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1436336,-662691691] |
[a1,a2,a3,a4,a6] |
Generators |
[2378829:704840620:27] |
Generators of the group modulo torsion |
j |
-2763449773937/6517 |
j-invariant |
L |
3.3280634166204 |
L(r)(E,1)/r! |
Ω |
0.068953368095003 |
Real period |
R |
8.0442370173877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38437c1 |
Quadratic twists by: 17 |