Atkin-Lehner |
2- 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bi |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-2999555755991586000 = -1 · 24 · 315 · 53 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-628907,-209115061] |
[a1,a2,a3,a4,a6] |
Generators |
[6657:535726:1] |
Generators of the group modulo torsion |
j |
-37735909554597608809/4114616949234000 |
j-invariant |
L |
10.443970339276 |
L(r)(E,1)/r! |
Ω |
0.084248022845465 |
Real period |
R |
2.582644767843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19470m1 |
Quadratic twists by: -3 |