Atkin-Lehner |
2+ 3+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24090b |
Isogeny class |
Conductor |
24090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
2220134400 = 212 · 33 · 52 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11313,-467883] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1351:1] |
Generators of the group modulo torsion |
j |
160146353714346649/2220134400 |
j-invariant |
L |
2.5068322808348 |
L(r)(E,1)/r! |
Ω |
0.46291416548778 |
Real period |
R |
5.4153285160184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72270bh1 120450ca1 |
Quadratic twists by: -3 5 |