Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
14896i |
Isogeny class |
Conductor |
14896 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-3654199805772544 = -1 · 28 · 78 · 195 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ -4 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71801,-7932091] |
[a1,a2,a3,a4,a6] |
j |
-27739393024/2476099 |
j-invariant |
L |
2.176321155635 |
L(r)(E,1)/r! |
Ω |
0.14508807704233 |
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 |
7448i1 59584bs1 14896n1 |
Quadratic twists by: -4 8 -7 |