Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ca |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-259000979328000 = -1 · 210 · 33 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2180,-772400] |
[a1,a2,a3,a4,a6] |
Generators |
[216:3028:1] |
Generators of the group modulo torsion |
j |
1588867/359424 |
j-invariant |
L |
4.0671833696245 |
L(r)(E,1)/r! |
Ω |
0.26016674291979 |
Real period |
R |
1.3027489312334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550kh1 95550fb1 |
Quadratic twists by: 5 -7 |