Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540p |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
1171648800000 = 28 · 36 · 55 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5805,164025] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1350:1] [-40:575:1] |
Generators of the group modulo torsion |
j |
1724920766464/93403125 |
j-invariant |
L |
10.534754215497 |
L(r)(E,1)/r! |
Ω |
0.85438423247468 |
Real period |
R |
0.41100767116155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540z1 |
Quadratic twists by: -7 |