Atkin-Lehner |
3+ 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61275a |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-114890625 = -1 · 32 · 56 · 19 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 5 0 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-200,1125] |
[a1,a2,a3,a4,a6] |
Generators |
[20:65:1] |
Generators of the group modulo torsion |
j |
-57066625/7353 |
j-invariant |
L |
6.7513902090396 |
L(r)(E,1)/r! |
Ω |
1.8134664046059 |
Real period |
R |
0.93072998096858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451g1 |
Quadratic twists by: 5 |