Atkin-Lehner |
29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39701a |
Isogeny class |
Conductor |
39701 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
79837708668853 = 292 · 377 |
Discriminant |
Eigenvalues |
0 -1 4 -1 -3 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-62061,5955999] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:3422:1] |
Generators of the group modulo torsion |
j |
10303307776/31117 |
j-invariant |
L |
5.2374701901802 |
L(r)(E,1)/r! |
Ω |
0.61188448060304 |
Real period |
R |
2.1398933770209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1073a1 |
Quadratic twists by: 37 |