Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550cx |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
6882466500 = 22 · 32 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-760,6700] |
[a1,a2,a3,a4,a6] |
Generators |
[6:46:1] [-20:130:1] |
Generators of the group modulo torsion |
j |
3307949/468 |
j-invariant |
L |
6.6976983052494 |
L(r)(E,1)/r! |
Ω |
1.2775442214992 |
Real period |
R |
0.65532940003249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550la1 1950j1 |
Quadratic twists by: 5 -7 |