Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400bx |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-625892680000000 = -1 · 29 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35675,-2859250] |
[a1,a2,a3,a4,a6] |
Generators |
[685:17150:1] |
Generators of the group modulo torsion |
j |
-627661760328/78236585 |
j-invariant |
L |
6.172077141505 |
L(r)(E,1)/r! |
Ω |
0.17248849126465 |
Real period |
R |
0.63897401072106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400g1 21280g1 |
Quadratic twists by: -4 5 |