Atkin-Lehner |
2+ 3- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050v |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-92516969367000000 = -1 · 26 · 314 · 56 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-135726,-24189152] |
[a1,a2,a3,a4,a6] |
j |
-17696534894747857/5921086039488 |
j-invariant |
L |
3.4242072260714 |
L(r)(E,1)/r! |
Ω |
0.1222931143587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002k1 |
Quadratic twists by: 5 |