Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200a |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-7135087500000000 = -1 · 28 · 39 · 511 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 3 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24300,-3793500] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1250:1] |
Generators of the group modulo torsion |
j |
20155392/90625 |
j-invariant |
L |
7.2995658605271 |
L(r)(E,1)/r! |
Ω |
0.21166061208491 |
Real period |
R |
1.0777226376446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400c1 52200bm1 10440m1 |
Quadratic twists by: -4 -3 5 |