Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816y |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
716800 |
Modular degree for the optimal curve |
Δ |
-1609537815097344 = -1 · 212 · 35 · 11 · 435 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-357849,-82297863] |
[a1,a2,a3,a4,a6] |
Generators |
[53999:12547228:1] |
Generators of the group modulo torsion |
j |
-1237269768719142592/392953568139 |
j-invariant |
L |
7.027939810394 |
L(r)(E,1)/r! |
Ω |
0.097596946845407 |
Real period |
R |
7.2009832561583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816bc1 45408e1 |
Quadratic twists by: -4 8 |