Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022c |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-8542350031935872 = -1 · 27 · 19 · 378 |
Discriminant |
Eigenvalues |
2+ 1 2 -1 0 5 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26040,-4733946] |
[a1,a2,a3,a4,a6] |
Generators |
[56220372:3791195910:12167] |
Generators of the group modulo torsion |
j |
-761048497/3329408 |
j-invariant |
L |
6.364212390194 |
L(r)(E,1)/r! |
Ω |
0.17075166806788 |
Real period |
R |
9.3179358981979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406f1 |
Quadratic twists by: 37 |