Atkin-Lehner |
7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7259a |
Isogeny class |
Conductor |
7259 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2097851 = -1 · 7 · 173 · 61 |
Discriminant |
Eigenvalues |
1 -1 -3 7+ 1 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3969,-97916] |
[a1,a2,a3,a4,a6] |
Generators |
[96:598:1] |
Generators of the group modulo torsion |
j |
-6917321625184153/2097851 |
j-invariant |
L |
2.7065999368533 |
L(r)(E,1)/r! |
Ω |
0.30073573042392 |
Real period |
R |
2.9999760177461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116144v1 65331k1 50813b1 123403f1 |
Quadratic twists by: -4 -3 -7 17 |