Atkin-Lehner |
2+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120472a |
Isogeny class |
Conductor |
120472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2440224 |
Modular degree for the optimal curve |
Δ |
-1.3540973592729E+19 |
Discriminant |
Eigenvalues |
2+ -1 -1 -2 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2498881,-1529870683] |
[a1,a2,a3,a4,a6] |
Generators |
[1841:10294:1] |
Generators of the group modulo torsion |
j |
-1401856/11 |
j-invariant |
L |
1.6934169401412 |
L(r)(E,1)/r! |
Ω |
0.060010837965025 |
Real period |
R |
7.0546299408137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995453909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120472f1 |
Quadratic twists by: 37 |