Atkin-Lehner |
2+ 3+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450h |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
13508956619020800 = 29 · 33 · 52 · 7 · 895 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59955,786285] |
[a1,a2,a3,a4,a6] |
Generators |
[-6567:31007:27] |
Generators of the group modulo torsion |
j |
953391429653287585/540358264760832 |
j-invariant |
L |
4.5953886943515 |
L(r)(E,1)/r! |
Ω |
0.34201022999594 |
Real period |
R |
2.6872814255495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450da1 |
Quadratic twists by: 5 |