Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cf |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
8678016000 = 210 · 37 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1515,22250] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:180:1] [1:144:1] |
Generators of the group modulo torsion |
j |
4121204/93 |
j-invariant |
L |
10.811698252564 |
L(r)(E,1)/r! |
Ω |
1.3027663968197 |
Real period |
R |
1.0373788309536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800ba1 37200n1 111600cd1 |
Quadratic twists by: -4 -3 5 |