Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150cf |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-1.4394868919385E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 2 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3829938,-2942436258] |
[a1,a2,a3,a4,a6] |
Generators |
[1601748:251797551:64] |
Generators of the group modulo torsion |
j |
-397629799197490583641/9212716108406250 |
j-invariant |
L |
11.150571286353 |
L(r)(E,1)/r! |
Ω |
0.053886075400551 |
Real period |
R |
10.346431061705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230h1 |
Quadratic twists by: 5 |