Atkin-Lehner |
5+ 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20615c |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
-13174324975 = -1 · 52 · 72 · 192 · 313 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,399,-4426] |
[a1,a2,a3,a4,a6] |
j |
7023836099951/13174324975 |
j-invariant |
L |
1.3178362015972 |
L(r)(E,1)/r! |
Ω |
0.6589181007986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103075b1 |
Quadratic twists by: 5 |