Atkin-Lehner |
2+ 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53650d |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
4292000000 = 28 · 56 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-426,-1252] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:17:1] [-12:52:1] |
Generators of the group modulo torsion |
j |
545338513/274688 |
j-invariant |
L |
5.2292185963663 |
L(r)(E,1)/r! |
Ω |
1.1081912101676 |
Real period |
R |
4.7186970519063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2146c1 |
Quadratic twists by: 5 |