Atkin-Lehner |
3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
3717b |
Isogeny class |
Conductor |
3717 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
352 |
Modular degree for the optimal curve |
Δ |
78057 = 33 · 72 · 59 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -4 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11,2] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [0:1:1] |
Generators of the group modulo torsion |
j |
5000211/2891 |
j-invariant |
L |
2.6728323652142 |
L(r)(E,1)/r! |
Ω |
2.8889912841887 |
Real period |
R |
0.92517841083245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472w1 3717a1 92925d1 26019a1 |
Quadratic twists by: -4 -3 5 -7 |