Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320r |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
1006939620664934400 = 238 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4906145,-4180805343] |
[a1,a2,a3,a4,a6] |
Generators |
[-116557821575504742888:-48124771101164723615:91168746998773248] |
Generators of the group modulo torsion |
j |
49820148452546463529/3841169817600 |
j-invariant |
L |
6.2434670506714 |
L(r)(E,1)/r! |
Ω |
0.10144168666371 |
Real period |
R |
30.773675277677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cr1 2010d1 |
Quadratic twists by: -4 8 |