Atkin-Lehner |
2- 3+ 5+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
100890n |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
543744 |
Modular degree for the optimal curve |
Δ |
3202926580800 = 26 · 33 · 52 · 192 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-320753,70000481] |
[a1,a2,a3,a4,a6] |
j |
135167057524163283507/118626910400 |
j-invariant |
L |
2.6633124807572 |
L(r)(E,1)/r! |
Ω |
0.66582821955522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
100890c3 |
Quadratic twists by: -3 |