Atkin-Lehner |
2- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31900c |
Isogeny class |
Conductor |
31900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
9619594531250000 = 24 · 511 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21900033,39454417562] |
[a1,a2,a3,a4,a6] |
j |
4646415367355940880384/38478378125 |
j-invariant |
L |
3.4011023699865 |
L(r)(E,1)/r! |
Ω |
0.28342519749918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127600z1 6380c1 |
Quadratic twists by: -4 5 |