Atkin-Lehner |
2- 3+ 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254w |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-4033874133954 = -1 · 2 · 39 · 7 · 172 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -2 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3859,27703] |
[a1,a2,a3,a4,a6] |
Generators |
[4468:48683:64] |
Generators of the group modulo torsion |
j |
322970055381/204942038 |
j-invariant |
L |
11.82168572056 |
L(r)(E,1)/r! |
Ω |
0.48611309906798 |
Real period |
R |
2.0265664072354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79254d1 |
Quadratic twists by: -3 |