Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080w |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
287490000 = 24 · 3 · 54 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-315,2100] |
[a1,a2,a3,a4,a6] |
Generators |
[5:25:1] |
Generators of the group modulo torsion |
j |
216727177216/17968125 |
j-invariant |
L |
4.6996300150288 |
L(r)(E,1)/r! |
Ω |
1.6916565890733 |
Real period |
R |
0.69453074066339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160bc1 93240k1 |
Quadratic twists by: -4 -3 |