Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920o |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-593975875046400 = -1 · 210 · 316 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9219,1118925] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1008:1] |
Generators of the group modulo torsion |
j |
84611246065664/580054565475 |
j-invariant |
L |
5.1526950965501 |
L(r)(E,1)/r! |
Ω |
0.37480306562646 |
Real period |
R |
3.4369349995578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ge1 9240bj1 |
Quadratic twists by: -4 8 |