Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320bd |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-581408690002560000 = -1 · 210 · 38 · 54 · 72 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41403,36828902] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:6300:1] [251:6500:1] |
Generators of the group modulo torsion |
j |
-10514573445604/778850375625 |
j-invariant |
L |
11.256059967516 |
L(r)(E,1)/r! |
Ω |
0.23961088722674 |
Real period |
R |
5.8720516096597 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440i3 |
Quadratic twists by: -3 |