Atkin-Lehner |
3+ 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23205b |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
113760 |
Modular degree for the optimal curve |
Δ |
-20635001858835 = -1 · 33 · 5 · 72 · 133 · 175 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -6 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12696,596657] |
[a1,a2,a3,a4,a6] |
j |
-226338618158977024/20635001858835 |
j-invariant |
L |
1.3340784706003 |
L(r)(E,1)/r! |
Ω |
0.66703923530016 |
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 |
69615v1 116025bd1 |
Quadratic twists by: -3 5 |