Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050bc |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
6060247051250 = 2 · 54 · 78 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 2 -2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18400,-961050] |
[a1,a2,a3,a4,a6] |
Generators |
[300867:8653140:343] |
Generators of the group modulo torsion |
j |
191227225/1682 |
j-invariant |
L |
7.4403566977732 |
L(r)(E,1)/r! |
Ω |
0.41013091894301 |
Real period |
R |
9.0707093187562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050bn1 71050bh1 |
Quadratic twists by: 5 -7 |