Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450t |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-337652630000000000 = -1 · 210 · 510 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 4 -1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55508,27486416] |
[a1,a2,a3,a4,a6] |
Generators |
[-7910760:80733668:35937] |
Generators of the group modulo torsion |
j |
16462575/293888 |
j-invariant |
L |
10.35872126291 |
L(r)(E,1)/r! |
Ω |
0.22656324713584 |
Real period |
R |
11.430275424165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450cm1 14350c1 |
Quadratic twists by: 5 -7 |