Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536c |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-26776436736 = -1 · 226 · 3 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,191,-7871] |
[a1,a2,a3,a4,a6] |
Generators |
[378:2585:8] |
Generators of the group modulo torsion |
j |
2924207/102144 |
j-invariant |
L |
3.1370055400894 |
L(r)(E,1)/r! |
Ω |
0.57155775963074 |
Real period |
R |
5.4885188543607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536dp1 798i1 76608bb1 |
Quadratic twists by: -4 8 -3 |