Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102366k |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
28438207331330016 = 25 · 36 · 1110 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 11- -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-661590,-206800236] |
[a1,a2,a3,a4,a6] |
Generators |
[-2840969303:2342030526:5929741] |
Generators of the group modulo torsion |
j |
1693700041/1504 |
j-invariant |
L |
2.60381824384 |
L(r)(E,1)/r! |
Ω |
0.16740770512479 |
Real period |
R |
15.553753881124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374k1 102366bf1 |
Quadratic twists by: -3 -11 |