Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120bi |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2707953444000000 = 28 · 34 · 56 · 74 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74660,7417308] |
[a1,a2,a3,a4,a6] |
Generators |
[1366:-49560:1] |
Generators of the group modulo torsion |
j |
179785027369362256/10577943140625 |
j-invariant |
L |
9.496858760502 |
L(r)(E,1)/r! |
Ω |
0.4473002541186 |
Real period |
R |
0.88464615176374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965956 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49560w2 |
Quadratic twists by: -4 |