Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350o |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
7944616378125000 = 23 · 32 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13686950,19484131500] |
[a1,a2,a3,a4,a6] |
Generators |
[2135:-1030:1] |
Generators of the group modulo torsion |
j |
2569823930905/72 |
j-invariant |
L |
2.6459896184963 |
L(r)(E,1)/r! |
Ω |
0.30354073310027 |
Real period |
R |
1.4528470866008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800jo2 22050fk2 7350cm2 7350be2 |
Quadratic twists by: -4 -3 5 -7 |