Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450o |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-290660037068800 = -1 · 211 · 52 · 72 · 415 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3148,-818224] |
[a1,a2,a3,a4,a6] |
Generators |
[2503:123983:1] |
Generators of the group modulo torsion |
j |
2815880305455/237273499648 |
j-invariant |
L |
4.4135160339756 |
L(r)(E,1)/r! |
Ω |
0.26028842345909 |
Real period |
R |
3.3912503297258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450cj1 100450a1 |
Quadratic twists by: 5 -7 |