Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400p |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1756958476000000 = -1 · 28 · 56 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26767,-1116163] |
[a1,a2,a3,a4,a6] |
Generators |
[6020:66417:125] |
Generators of the group modulo torsion |
j |
530208386048/439239619 |
j-invariant |
L |
8.6918018197431 |
L(r)(E,1)/r! |
Ω |
0.26068266241422 |
Real period |
R |
4.7632088868113 |
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 |
18200q1 1456c1 |
Quadratic twists by: -4 5 |