Atkin-Lehner |
2- 3+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434bg |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4.020132400471E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1174691,-576941021] |
[a1,a2,a3,a4,a6] |
Generators |
[196342035:47250109042:3375] |
Generators of the group modulo torsion |
j |
-42487533099/9528128 |
j-invariant |
L |
13.603156268529 |
L(r)(E,1)/r! |
Ω |
0.071652729932893 |
Real period |
R |
15.820700061453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434m1 115434f2 |
Quadratic twists by: -3 -11 |