Atkin-Lehner |
2+ 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010f |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14421120 |
Modular degree for the optimal curve |
Δ |
-111381215088476160 = -1 · 237 · 35 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10960814152,441680111822656] |
[a1,a2,a3,a4,a6] |
Generators |
[4305631468939639500482797599:-2496975887331646826266101052:71246016001349273035349] |
Generators of the group modulo torsion |
j |
-145630437548197559578324883173793161/111381215088476160 |
j-invariant |
L |
3.9619201872687 |
L(r)(E,1)/r! |
Ω |
0.097959720283279 |
Real period |
R |
40.444380361762 |
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 |
60030bf1 100050cg1 |
Quadratic twists by: -3 5 |