Atkin-Lehner |
31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58621a |
Isogeny class |
Conductor |
58621 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
409200 |
Modular degree for the optimal curve |
Δ |
3173607550317961 = 318 · 612 |
Discriminant |
Eigenvalues |
-1 -1 3 -3 3 -1 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138404,-19689972] |
[a1,a2,a3,a4,a6] |
Generators |
[-26680:66927:125] |
Generators of the group modulo torsion |
j |
343776577/3721 |
j-invariant |
L |
3.0510577674791 |
L(r)(E,1)/r! |
Ω |
0.24768310066335 |
Real period |
R |
6.1591964887464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58621c1 |
Quadratic twists by: -31 |