Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915k |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
77616 |
Modular degree for the optimal curve |
Δ |
-247256436722715 = -1 · 36 · 5 · 79 · 412 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -3 -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15993,1085528] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1004:1] |
Generators of the group modulo torsion |
j |
-620563168014336/339172066835 |
j-invariant |
L |
1.8267227410965 |
L(r)(E,1)/r! |
Ω |
0.5154712816538 |
Real period |
R |
0.19687730498194 |
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 |
1435d1 64575k1 90405ca1 |
Quadratic twists by: -3 5 -7 |