Atkin-Lehner |
2+ 3+ 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550b |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-220590000000 = -1 · 27 · 33 · 57 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-625,23125] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1010:1] |
Generators of the group modulo torsion |
j |
-1732323601/14117760 |
j-invariant |
L |
5.4475396340036 |
L(r)(E,1)/r! |
Ω |
0.85345843665407 |
Real period |
R |
3.1914498669065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510t1 |
Quadratic twists by: 5 |