Atkin-Lehner |
2+ 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120ba |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-14151896718750000 = -1 · 24 · 32 · 510 · 72 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,46585,4232400] |
[a1,a2,a3,a4,a6] |
Generators |
[2020:91350:1] |
Generators of the group modulo torsion |
j |
698767514069264384/884493544921875 |
j-invariant |
L |
9.5006936271042 |
L(r)(E,1)/r! |
Ω |
0.26584898291614 |
Real period |
R |
3.5737182605963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999977918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560bb1 |
Quadratic twists by: -4 |