Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450f |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
13062500 = 22 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92,316] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:28:1] |
Generators of the group modulo torsion |
j |
5545233/836 |
j-invariant |
L |
2.8356869355978 |
L(r)(E,1)/r! |
Ω |
2.1487723134383 |
Real period |
R |
0.65983885725436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600bc1 94050cz1 418a1 114950cb1 |
Quadratic twists by: -4 -3 5 -11 |