Atkin-Lehner |
2+ 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150bl |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
19219200 |
Modular degree for the optimal curve |
Δ |
-2.2303455530192E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-181219701,966065298298] |
[a1,a2,a3,a4,a6] |
Generators |
[6596:-243558:1] |
Generators of the group modulo torsion |
j |
-1684922394297771562635625/57096846157291732818 |
j-invariant |
L |
6.5324931162977 |
L(r)(E,1)/r! |
Ω |
0.067431697776913 |
Real period |
R |
0.34598465300556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72150bq1 |
Quadratic twists by: 5 |