Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700bi |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
19042931250000 = 24 · 33 · 58 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8533,216188] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:525:1] |
Generators of the group modulo torsion |
j |
274877906944/76171725 |
j-invariant |
L |
8.0716964387823 |
L(r)(E,1)/r! |
Ω |
0.6403691319454 |
Real period |
R |
0.35013210139054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740a1 |
Quadratic twists by: 5 |