Atkin-Lehner |
2+ 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610o |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
1497960000 = 26 · 33 · 54 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-714,7036] |
[a1,a2,a3,a4,a6] |
Generators |
[5:57:1] |
Generators of the group modulo torsion |
j |
40173871540249/1497960000 |
j-invariant |
L |
5.8550421976403 |
L(r)(E,1)/r! |
Ω |
1.4983659414587 |
Real period |
R |
1.3025394388273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830cs1 |
Quadratic twists by: -3 |