Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bg |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
42059559935994300 = 22 · 312 · 52 · 77 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159864,22523386] |
[a1,a2,a3,a4,a6] |
Generators |
[4568:-309882:1] [11:4551:1] |
Generators of the group modulo torsion |
j |
3840463067149801/357500360700 |
j-invariant |
L |
7.6733866031595 |
L(r)(E,1)/r! |
Ω |
0.35199761765353 |
Real period |
R |
0.22707855519708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510e2 |
Quadratic twists by: -7 |