Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970db |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
82575360 |
Modular degree for the optimal curve |
Δ |
-9.9589893528005E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,207387517,15139655258627] |
[a1,a2,a3,a4,a6] |
Generators |
[-18429:2258314:1] |
Generators of the group modulo torsion |
j |
11501534367688741509671/1161179873437500000000 |
j-invariant |
L |
9.4591883055582 |
L(r)(E,1)/r! |
Ω |
0.025806125728078 |
Real period |
R |
3.8182101622556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bh1 10710bi1 |
Quadratic twists by: -3 -7 |