Atkin-Lehner |
3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965j |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-157373253354071475 = -1 · 32 · 52 · 710 · 195 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -5 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-276915,-59154082] |
[a1,a2,a3,a4,a6] |
Generators |
[2904:153682:1] |
Generators of the group modulo torsion |
j |
-8313508102144/557122275 |
j-invariant |
L |
2.7864240415899 |
L(r)(E,1)/r! |
Ω |
0.10365881940231 |
Real period |
R |
6.7201808241121 |
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 |
41895v1 69825bo1 13965n1 |
Quadratic twists by: -3 5 -7 |