Atkin-Lehner |
5+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10465b |
Isogeny class |
Conductor |
10465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
433303325 = 52 · 73 · 133 · 23 |
Discriminant |
Eigenvalues |
2 0 5+ 7+ 5 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1013,12369] |
[a1,a2,a3,a4,a6] |
j |
114961401114624/433303325 |
j-invariant |
L |
3.3640633221548 |
L(r)(E,1)/r! |
Ω |
1.6820316610774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94185u1 52325o1 73255t1 |
Quadratic twists by: -3 5 -7 |