Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29600a |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-1480000000 = -1 · 29 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5+ -5 5 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,3812] |
[a1,a2,a3,a4,a6] |
Generators |
[32:150:1] |
Generators of the group modulo torsion |
j |
-941192/185 |
j-invariant |
L |
7.2341080098068 |
L(r)(E,1)/r! |
Ω |
1.4493299569171 |
Real period |
R |
1.2478366253456 |
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 |
29600q1 59200bj1 5920k1 |
Quadratic twists by: -4 8 5 |