Atkin-Lehner |
2+ 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570s |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2200189273112250 = 2 · 34 · 53 · 76 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74162,7407954] |
[a1,a2,a3,a4,a6] |
Generators |
[-2506:2493:8] [-197:3896:1] |
Generators of the group modulo torsion |
j |
383432500775449/18701300250 |
j-invariant |
L |
6.3247393240245 |
L(r)(E,1)/r! |
Ω |
0.45679310436411 |
Real period |
R |
1.1538300497533 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930g3 |
Quadratic twists by: -7 |