Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200dj |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1112832 |
Modular degree for the optimal curve |
Δ |
46671072539443200 = 226 · 33 · 52 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-489968,-131761452] |
[a1,a2,a3,a4,a6] |
j |
127036287331975705/455772192768 |
j-invariant |
L |
3.2488058302504 |
L(r)(E,1)/r! |
Ω |
0.18048921353414 |
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 |
15150ba1 121200cs1 |
Quadratic twists by: -4 5 |