Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920cs |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-195962760000000000 = -1 · 212 · 33 · 510 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15933,21284226] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-4830:1] |
Generators of the group modulo torsion |
j |
4044759171237/1771943359375 |
j-invariant |
L |
8.284670958966 |
L(r)(E,1)/r! |
Ω |
0.2472911986669 |
Real period |
R |
0.55836135257618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7245f2 115920cg2 |
Quadratic twists by: -4 -3 |