Atkin-Lehner |
2- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360r |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-392704000 = -1 · 212 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -5 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,8500] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-40:1] [-20:130:1] |
Generators of the group modulo torsion |
j |
-13841287201/95875 |
j-invariant |
L |
5.9706944855624 |
L(r)(E,1)/r! |
Ω |
1.6971907340886 |
Real period |
R |
0.2931655610675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3835b1 |
Quadratic twists by: -4 |