Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540bh |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3217536 |
Modular degree for the optimal curve |
Δ |
7.151685294978E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1288765,-389746225] |
[a1,a2,a3,a4,a6] |
Generators |
[-430:9225:1] |
Generators of the group modulo torsion |
j |
160406130712576/48460078125 |
j-invariant |
L |
9.7059027088951 |
L(r)(E,1)/r! |
Ω |
0.14501322699213 |
Real period |
R |
1.5935989170594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540d1 |
Quadratic twists by: -7 |