Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540n |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-911282400000 = -1 · 28 · 34 · 55 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,355,-45975] |
[a1,a2,a3,a4,a6] |
Generators |
[35:90:1] [40:175:1] |
Generators of the group modulo torsion |
j |
56188928/10378125 |
j-invariant |
L |
10.927714297956 |
L(r)(E,1)/r! |
Ω |
0.41735841506871 |
Real period |
R |
0.43638408884689 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540be1 |
Quadratic twists by: -7 |