Atkin-Lehner |
2- 3- 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270be |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
48555386718750000 = 24 · 36 · 512 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95117,-3860859] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:2564:1] |
Generators of the group modulo torsion |
j |
130546831542578569/66605468750000 |
j-invariant |
L |
11.314053122745 |
L(r)(E,1)/r! |
Ω |
0.28706007744342 |
Real period |
R |
0.82111536375182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030a2 |
Quadratic twists by: -3 |