Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31080q |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
226698514560000 = 210 · 33 · 54 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15440,138288] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:888:1] |
Generators of the group modulo torsion |
j |
397551842936644/221385268125 |
j-invariant |
L |
7.580739800198 |
L(r)(E,1)/r! |
Ω |
0.48392019692271 |
Real period |
R |
0.65271951935502 |
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 |
62160l4 93240bs4 |
Quadratic twists by: -4 -3 |