Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600bn |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2924544 |
Modular degree for the optimal curve |
Δ |
42727856400000000 = 210 · 313 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10992675,14028236750] |
[a1,a2,a3,a4,a6] |
Generators |
[-3530:94050:1] |
Generators of the group modulo torsion |
j |
12594657614152036/3663225 |
j-invariant |
L |
6.8430822752755 |
L(r)(E,1)/r! |
Ω |
0.28976136128716 |
Real period |
R |
5.9040672291448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40200a1 24120l1 |
Quadratic twists by: -3 5 |