Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970cq |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-36457454138067900 = -1 · 22 · 312 · 52 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13882,9161457] |
[a1,a2,a3,a4,a6] |
j |
3449795831/425079900 |
j-invariant |
L |
4.4999824041514 |
L(r)(E,1)/r! |
Ω |
0.28124890085874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990q1 10710bn1 |
Quadratic twists by: -3 -7 |