Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605o |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
2710638254205 = 37 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 2 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-92381,-10837984] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:16:1] |
Generators of the group modulo torsion |
j |
15124884619264/470205 |
j-invariant |
L |
4.5801601165223 |
L(r)(E,1)/r! |
Ω |
0.27384467998606 |
Real period |
R |
2.3893419733694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815z1 31605k1 |
Quadratic twists by: -3 -7 |