Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075bb |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
70963200 |
Modular degree for the optimal curve |
Δ |
-8.622300087548E+28 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 11+ -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-54476602500,-4894011040799219] |
[a1,a2,a3,a4,a6] |
Generators |
[34702555:4642266616:125] |
Generators of the group modulo torsion |
j |
-2511459527130857919761612800/12111433867831505427 |
j-invariant |
L |
3.047573581275 |
L(r)(E,1)/r! |
Ω |
0.0049410236171798 |
Real period |
R |
9.6373425623346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14025c1 42075bs1 |
Quadratic twists by: -3 5 |