Atkin-Lehner |
2+ 3- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20910i |
Isogeny class |
Conductor |
20910 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
142272 |
Modular degree for the optimal curve |
Δ |
102767764754880 = 26 · 313 · 5 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 -7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49729,4236212] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:1574:1] [-125:2978:1] |
Generators of the group modulo torsion |
j |
13600044717364691209/102767764754880 |
j-invariant |
L |
5.8701522653633 |
L(r)(E,1)/r! |
Ω |
0.60004867814953 |
Real period |
R |
0.12542042857014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62730bb1 104550bi1 |
Quadratic twists by: -3 5 |