Atkin-Lehner |
3+ 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72471c |
Isogeny class |
Conductor |
72471 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
987840 |
Modular degree for the optimal curve |
Δ |
2399322925801070829 = 310 · 78 · 172 · 293 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 0 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-493005,-110280976] |
[a1,a2,a3,a4,a6] |
Generators |
[804:3523:1] |
Generators of the group modulo torsion |
j |
2298763244732416/416202211629 |
j-invariant |
L |
4.5814758243417 |
L(r)(E,1)/r! |
Ω |
0.18241605073624 |
Real period |
R |
2.0929608465407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72471m1 |
Quadratic twists by: -7 |