Atkin-Lehner |
2- 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760t |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-2361157093750000 = -1 · 24 · 59 · 7 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41046,-3950005] |
[a1,a2,a3,a4,a6] |
Generators |
[250416050343:28718249338441:19034163] |
Generators of the group modulo torsion |
j |
-477998828834462464/147572318359375 |
j-invariant |
L |
9.3897719435182 |
L(r)(E,1)/r! |
Ω |
0.16509482687455 |
Real period |
R |
18.958340733178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30940d2 |
Quadratic twists by: -4 |