Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
29890f |
Isogeny class |
Conductor |
29890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-3516528610 = -1 · 2 · 5 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123,-2953] |
[a1,a2,a3,a4,a6] |
Generators |
[2036:9419:64] |
Generators of the group modulo torsion |
j |
-1771561/29890 |
j-invariant |
L |
5.5237893281194 |
L(r)(E,1)/r! |
Ω |
0.60424187252717 |
Real period |
R |
4.5708428853306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4270c1 |
Quadratic twists by: -7 |