Atkin-Lehner |
2- 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550bq |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-6011881670080000000 = -1 · 212 · 57 · 113 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,431645,44634147] |
[a1,a2,a3,a4,a6] |
j |
569226058190449479/384760426885120 |
j-invariant |
L |
3.6121891947435 |
L(r)(E,1)/r! |
Ω |
0.15050790668479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24310i1 |
Quadratic twists by: 5 |