Atkin-Lehner |
3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065r |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-5.8275452364025E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -3 -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,777702,255431803] |
[a1,a2,a3,a4,a6] |
Generators |
[-2354:9705:8] [-241:7470:1] |
Generators of the group modulo torsion |
j |
9023600138318759/10108840246875 |
j-invariant |
L |
14.00673429135 |
L(r)(E,1)/r! |
Ω |
0.1316419346795 |
Real period |
R |
0.29555624010297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58065b1 |
Quadratic twists by: -7 |