Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520bf |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
10304000000 = 212 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-692,5024] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:80:1] |
Generators of the group modulo torsion |
j |
8947094976/2515625 |
j-invariant |
L |
7.0338904724492 |
L(r)(E,1)/r! |
Ω |
1.1975430773389 |
Real period |
R |
0.97893353559973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520ba2 25760g1 |
Quadratic twists by: -4 8 |