Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550io |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-1.4960847585206E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117013,186683531] |
[a1,a2,a3,a4,a6] |
Generators |
[69:13342:1] |
Generators of the group modulo torsion |
j |
-11240455/949104 |
j-invariant |
L |
7.2529079728598 |
L(r)(E,1)/r! |
Ω |
0.18250995724049 |
Real period |
R |
1.6558247164047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ed1 95550kw1 |
Quadratic twists by: 5 -7 |