Atkin-Lehner |
3+ 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105225h |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
399526171875 = 36 · 58 · 23 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 -2 6 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6075,-182250] |
[a1,a2,a3,a4,a6] |
Generators |
[-6130:6458:125] |
Generators of the group modulo torsion |
j |
63491300185/1022787 |
j-invariant |
L |
7.3249698716691 |
L(r)(E,1)/r! |
Ω |
0.54128723897286 |
Real period |
R |
6.7662502634212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105225k1 |
Quadratic twists by: 5 |