Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550d |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-2588931072000000 = -1 · 216 · 34 · 56 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93125,11170125] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:4295:1] [10:3195:1] |
Generators of the group modulo torsion |
j |
-2380771254001/69009408 |
j-invariant |
L |
7.274544234947 |
L(r)(E,1)/r! |
Ω |
0.45462362292643 |
Real period |
R |
2.0001556970939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822bb1 95550dn1 |
Quadratic twists by: 5 -7 |