Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650cg |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-25130938500000 = -1 · 25 · 35 · 56 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1412,-240208] |
[a1,a2,a3,a4,a6] |
Generators |
[68:380:1] |
Generators of the group modulo torsion |
j |
19924551431/1608380064 |
j-invariant |
L |
11.892616547897 |
L(r)(E,1)/r! |
Ω |
0.31935752245439 |
Real period |
R |
0.49652257889117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346b1 |
Quadratic twists by: 5 |