Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cr |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
1995 |
Product of Tamagawa factors cp |
deg |
4596480 |
Modular degree for the optimal curve |
Δ |
-3.1439104567818E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4043323,-4131980143] |
[a1,a2,a3,a4,a6] |
Generators |
[4958:-315055:1] |
Generators of the group modulo torsion |
j |
-292414577195630369388505/125756418271272763392 |
j-invariant |
L |
10.997287581381 |
L(r)(E,1)/r! |
Ω |
0.05214098447166 |
Real period |
R |
0.10572153381058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050p1 |
Quadratic twists by: 5 |