Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970dm |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-744029676287100 = -1 · 22 · 312 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38597,3209721] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:17817:8] |
Generators of the group modulo torsion |
j |
-74140932601/8675100 |
j-invariant |
L |
11.806969706252 |
L(r)(E,1)/r! |
Ω |
0.49194938462812 |
Real period |
R |
3.0000468731347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990f1 10710z1 |
Quadratic twists by: -3 -7 |