Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90300j |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
59523925781250000 = 24 · 34 · 516 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177133,26242762] |
[a1,a2,a3,a4,a6] |
Generators |
[-5334:1846900:343] |
Generators of the group modulo torsion |
j |
2458581387575296/238095703125 |
j-invariant |
L |
5.7069980557838 |
L(r)(E,1)/r! |
Ω |
0.34158081312018 |
Real period |
R |
8.3538036207185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999806572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060m1 |
Quadratic twists by: 5 |