Atkin-Lehner |
3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215f |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3008 |
Modular degree for the optimal curve |
Δ |
57645 = 33 · 5 · 7 · 61 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- -5 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27,-53] |
[a1,a2,a3,a4,a6] |
j |
80621568/2135 |
j-invariant |
L |
4.1955657332481 |
L(r)(E,1)/r! |
Ω |
2.097782866624 |
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 |
19215c1 96075d1 |
Quadratic twists by: -3 5 |