Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bm |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
146096156250000 = 24 · 36 · 59 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2515063,1534174781] |
[a1,a2,a3,a4,a6] |
Generators |
[7270:-939:8] |
Generators of the group modulo torsion |
j |
112603088219295873961/9350154000 |
j-invariant |
L |
8.4225521441622 |
L(r)(E,1)/r! |
Ω |
0.44288422057057 |
Real period |
R |
2.3771879190694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490n1 |
Quadratic twists by: 5 |