Atkin-Lehner |
2- 3+ 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550bj |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-5162116204687500000 = -1 · 25 · 37 · 511 · 19 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,276537,94010781] |
[a1,a2,a3,a4,a6] |
j |
149679846557675351/330375437100000 |
j-invariant |
L |
3.3636270771419 |
L(r)(E,1)/r! |
Ω |
0.16818136215349 |
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 |
24510d1 |
Quadratic twists by: 5 |