Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450em |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
-9.7652084957293E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-242239730,-1458870033103] |
[a1,a2,a3,a4,a6] |
Generators |
[22209:2017495:1] |
Generators of the group modulo torsion |
j |
-138010547060620856386129/857302254769101120 |
j-invariant |
L |
11.214959579854 |
L(r)(E,1)/r! |
Ω |
0.019127005460559 |
Real period |
R |
2.0359084413375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bg2 14490s2 |
Quadratic twists by: -3 5 |