Atkin-Lehner |
3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
55815b |
Isogeny class |
Conductor |
55815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
283883008753125 = 38 · 55 · 614 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 -3 -2 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23566,-1124328] |
[a1,a2,a3,a4,a6] |
Generators |
[175:283:1] |
Generators of the group modulo torsion |
j |
104539500544/20503125 |
j-invariant |
L |
2.6259407835606 |
L(r)(E,1)/r! |
Ω |
0.3905934311285 |
Real period |
R |
3.3614758650673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55815a1 |
Quadratic twists by: 61 |