Atkin-Lehner |
2+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74008a |
Isogeny class |
Conductor |
74008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1085760 |
Modular degree for the optimal curve |
Δ |
-8959381240361080496 = -1 · 24 · 113 · 2910 |
Discriminant |
Eigenvalues |
2+ -1 -2 2 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,471521,72011684] |
[a1,a2,a3,a4,a6] |
Generators |
[2151424:94630126:1331] |
Generators of the group modulo torsion |
j |
1722368/1331 |
j-invariant |
L |
3.6856426164758 |
L(r)(E,1)/r! |
Ω |
0.14840632851436 |
Real period |
R |
12.417403802306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74008j1 |
Quadratic twists by: 29 |