Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450a |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3104640 |
Modular degree for the optimal curve |
Δ |
-3.4195862701107E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,154243,280342341] |
[a1,a2,a3,a4,a6] |
Generators |
[6354082:310290441:2744] |
Generators of the group modulo torsion |
j |
2815880305455/237273499648 |
j-invariant |
L |
2.0911461127565 |
L(r)(E,1)/r! |
Ω |
0.15828580794674 |
Real period |
R |
13.211204098278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450ce1 100450o1 |
Quadratic twists by: 5 -7 |