Atkin-Lehner |
2- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656q |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-30380933513216 = -1 · 222 · 11 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 1 1 0 11+ 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2320,-260908] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1258:1] [146:1792:1] |
Generators of the group modulo torsion |
j |
337008232079/7417220096 |
j-invariant |
L |
13.226994868285 |
L(r)(E,1)/r! |
Ω |
0.32059545505459 |
Real period |
R |
3.4381322473537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582m1 |
Quadratic twists by: -4 |