Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630o |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-169718818575477780 = -1 · 22 · 36 · 5 · 712 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-268937,-57335991] |
[a1,a2,a3,a4,a6] |
Generators |
[784:14253:1] |
Generators of the group modulo torsion |
j |
-18284776796707849/1442586155220 |
j-invariant |
L |
4.1421987885023 |
L(r)(E,1)/r! |
Ω |
0.10435096400172 |
Real period |
R |
4.9618597539133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890fb2 6090i2 |
Quadratic twists by: -3 -7 |