Atkin-Lehner |
2+ 3+ 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310d |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
8284841727451200 = 26 · 39 · 52 · 19 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-268179,-53207947] |
[a1,a2,a3,a4,a6] |
Generators |
[3587:210639:1] |
Generators of the group modulo torsion |
j |
108369640245526947/420913566400 |
j-invariant |
L |
7.348113832612 |
L(r)(E,1)/r! |
Ω |
0.20984312547992 |
Real period |
R |
4.3771470718167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310bi1 |
Quadratic twists by: -3 |