Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bk |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
2146435200 = 27 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2370,43380] |
[a1,a2,a3,a4,a6] |
Generators |
[21:48:1] |
Generators of the group modulo torsion |
j |
1202593778785/1752192 |
j-invariant |
L |
3.7330188882703 |
L(r)(E,1)/r! |
Ω |
1.4634659757777 |
Real period |
R |
0.63770168785987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550kt1 95550db1 |
Quadratic twists by: 5 -7 |