Atkin-Lehner |
3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19215v |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-3431895075 = -1 · 38 · 52 · 73 · 61 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 6 -2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-327,-3623] |
[a1,a2,a3,a4,a6] |
j |
-5304438784/4707675 |
j-invariant |
L |
6.495937132363 |
L(r)(E,1)/r! |
Ω |
0.54132809436358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405c1 96075s1 |
Quadratic twists by: -3 5 |