Atkin-Lehner |
2+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45494h |
Isogeny class |
Conductor |
45494 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
403765949628416 = 225 · 234 · 43 |
Discriminant |
Eigenvalues |
2+ 2 3 -5 -5 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7297301,-7590415507] |
[a1,a2,a3,a4,a6] |
Generators |
[-802624402066911774743266407236318666198037:398016497182307923853803066179329816198123:514510552326090706836041132013559545549] |
Generators of the group modulo torsion |
j |
153567474604195031737/1442840576 |
j-invariant |
L |
5.7790099840503 |
L(r)(E,1)/r! |
Ω |
0.091856307221 |
Real period |
R |
62.913589266618 |
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 |
45494e1 |
Quadratic twists by: -23 |