Atkin-Lehner |
2+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
39494d |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-510024951863912576 = -1 · 27 · 77 · 132 · 315 |
Discriminant |
Eigenvalues |
2+ -1 1 7- -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-161382,42397972] |
[a1,a2,a3,a4,a6] |
Generators |
[517:9615:1] |
Generators of the group modulo torsion |
j |
-3950981143258969/4335140561024 |
j-invariant |
L |
2.8584630477705 |
L(r)(E,1)/r! |
Ω |
0.26665256302281 |
Real period |
R |
0.53599016926119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5642d1 |
Quadratic twists by: -7 |