Atkin-Lehner |
3+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41325c |
Isogeny class |
Conductor |
41325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1588671826171875 = -1 · 310 · 511 · 19 · 29 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 2 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34258,3115293] |
[a1,a2,a3,a4,a6] |
Generators |
[-18616:1062869:512] |
Generators of the group modulo torsion |
j |
-284578691608576/101674996875 |
j-invariant |
L |
11.646931484577 |
L(r)(E,1)/r! |
Ω |
0.44755589727502 |
Real period |
R |
3.252926493507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975x1 8265b1 |
Quadratic twists by: -3 5 |