Atkin-Lehner |
3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
52725k |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1270080 |
Modular degree for the optimal curve |
Δ |
-1313448127734375 = -1 · 314 · 58 · 19 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5- 5 -1 -7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2229263,-1282050844] |
[a1,a2,a3,a4,a6] |
Generators |
[27370680:1946875691:4913] |
Generators of the group modulo torsion |
j |
-3136516766058213265/3362427207 |
j-invariant |
L |
3.130125389753 |
L(r)(E,1)/r! |
Ω |
0.061777339787725 |
Real period |
R |
8.4446427564955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52725o1 |
Quadratic twists by: 5 |