Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450br |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
3106223437500 = 22 · 39 · 58 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4430,-74303] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:53:1] |
Generators of the group modulo torsion |
j |
1250235/404 |
j-invariant |
L |
9.3356805596224 |
L(r)(E,1)/r! |
Ω |
0.60021855783282 |
Real period |
R |
3.8884504809815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45450i1 45450a1 |
Quadratic twists by: -3 5 |