Atkin-Lehner |
2+ 3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650be |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-1070889264843750 = -1 · 2 · 32 · 58 · 11 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22674,-865202] |
[a1,a2,a3,a4,a6] |
j |
3300468846215/2741476518 |
j-invariant |
L |
1.0863582942792 |
L(r)(E,1)/r! |
Ω |
0.27158955132744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650bq1 |
Quadratic twists by: 5 |