Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325f |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1484578125 = 35 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 0 5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-458,3443] |
[a1,a2,a3,a4,a6] |
j |
681472000/95013 |
j-invariant |
L |
2.9049671010251 |
L(r)(E,1)/r! |
Ω |
1.4524835505136 |
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 |
87975bd1 1173f1 |
Quadratic twists by: -3 5 |