Atkin-Lehner |
2+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7210a |
Isogeny class |
Conductor |
7210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
46577753600000000 = 215 · 58 · 73 · 1032 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59942254,178622254752] |
[a1,a2,a3,a4,a6] |
Generators |
[30876:5253624:1] |
Generators of the group modulo torsion |
j |
23818966335091571621419550809/46577753600000000 |
j-invariant |
L |
1.6361566088625 |
L(r)(E,1)/r! |
Ω |
0.23281579071831 |
Real period |
R |
7.0276874425674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57680o2 64890cd2 36050u2 50470f2 |
Quadratic twists by: -4 -3 5 -7 |