Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680ca |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-2445593292800 = -1 · 212 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 2 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1568,71344] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:245:1] |
Generators of the group modulo torsion |
j |
884736/5075 |
j-invariant |
L |
4.444351397085 |
L(r)(E,1)/r! |
Ω |
0.58893544292189 |
Real period |
R |
0.9433019051227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7105d1 16240n1 |
Quadratic twists by: -4 -7 |