Atkin-Lehner |
2+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
98686i |
Isogeny class |
Conductor |
98686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2618914228783552 = 26 · 79 · 192 · 532 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124273,16712541] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:4547:1] [178:367:1] |
Generators of the group modulo torsion |
j |
5259853707471/64899136 |
j-invariant |
L |
7.4081501834567 |
L(r)(E,1)/r! |
Ω |
0.45738188624202 |
Real period |
R |
4.0492148935238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98686e2 |
Quadratic twists by: -7 |