Atkin-Lehner |
2+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65702b |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-2120431812794932 = -1 · 22 · 74 · 13 · 198 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ -1 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,21292,1873940] |
[a1,a2,a3,a4,a6] |
Generators |
[36210:1316900:27] |
Generators of the group modulo torsion |
j |
62851031/124852 |
j-invariant |
L |
9.1889933262178 |
L(r)(E,1)/r! |
Ω |
0.32029858851932 |
Real period |
R |
7.1722087263051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65702t1 |
Quadratic twists by: -19 |