Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075bs |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-5.5182720560307E+24 |
Discriminant |
Eigenvalues |
0 3- 5- 3 11+ 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2179064100,-39152088326394] |
[a1,a2,a3,a4,a6] |
Generators |
[628569173290990950655974145229496536762:-104916140530996929239972551623038499581330:9214313881873046253519069582188023] |
Generators of the group modulo torsion |
j |
-2511459527130857919761612800/12111433867831505427 |
j-invariant |
L |
5.4184510100656 |
L(r)(E,1)/r! |
Ω |
0.011048464686446 |
Real period |
R |
61.303212299634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14025w1 42075bb1 |
Quadratic twists by: -3 5 |