Atkin-Lehner |
2+ 3- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526f |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
504803164013568 = 210 · 36 · 72 · 173 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50226,4208084] |
[a1,a2,a3,a4,a6] |
Generators |
[20:1782:1] |
Generators of the group modulo torsion |
j |
19221480021667617/692459758592 |
j-invariant |
L |
5.3788956682916 |
L(r)(E,1)/r! |
Ω |
0.51905344175333 |
Real period |
R |
2.5907234500455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999531186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614h1 |
Quadratic twists by: -3 |