Atkin-Lehner |
2+ 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650y |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-25898530560000000 = -1 · 214 · 3 · 57 · 74 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37776,8239198] |
[a1,a2,a3,a4,a6] |
Generators |
[2122:96326:1] |
Generators of the group modulo torsion |
j |
-381535601691889/1657505955840 |
j-invariant |
L |
4.631174009638 |
L(r)(E,1)/r! |
Ω |
0.32777851479071 |
Real period |
R |
1.7661217104382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130x1 |
Quadratic twists by: 5 |