Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bb |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
176047376400 = 24 · 38 · 52 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6669,210325] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:647:1] |
Generators of the group modulo torsion |
j |
45000254125009/241491600 |
j-invariant |
L |
4.1989486030207 |
L(r)(E,1)/r! |
Ω |
1.0203530331845 |
Real period |
R |
1.0287979911021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7770p2 116550ec2 |
Quadratic twists by: -3 5 |