Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440bt |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-602215818750000 = -1 · 24 · 32 · 58 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3169,-1179744] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1519:1] |
Generators of the group modulo torsion |
j |
1869154304/319921875 |
j-invariant |
L |
3.0177527832432 |
L(r)(E,1)/r! |
Ω |
0.2431140996821 |
Real period |
R |
3.1032268265953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920t1 |
Quadratic twists by: -7 |