Atkin-Lehner |
2- 3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310ca |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
1740800 |
Modular degree for the optimal curve |
Δ |
-1519963796275200000 = -1 · 220 · 38 · 55 · 19 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87197,60160421] |
[a1,a2,a3,a4,a6] |
Generators |
[111:7144:1] [-369:6664:1] |
Generators of the group modulo torsion |
j |
-100576413424512649/2084998348800000 |
j-invariant |
L |
16.690263672556 |
L(r)(E,1)/r! |
Ω |
0.22541951932242 |
Real period |
R |
0.37020449082346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770h1 |
Quadratic twists by: -3 |