Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540bi |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1543845068317440 = 28 · 36 · 5 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-378100,89340740] |
[a1,a2,a3,a4,a6] |
Generators |
[368:414:1] |
Generators of the group modulo torsion |
j |
578658807088/149445 |
j-invariant |
L |
10.00590146324 |
L(r)(E,1)/r! |
Ω |
0.46481972723844 |
Real period |
R |
2.3918236653489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120540e2 |
Quadratic twists by: -7 |