Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490s |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-864752999906250 = -1 · 2 · 32 · 56 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14193,-1250361] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-1842:1] |
Generators of the group modulo torsion |
j |
65499561791/179156250 |
j-invariant |
L |
4.2283259511199 |
L(r)(E,1)/r! |
Ω |
0.25702915278366 |
Real period |
R |
0.68544850284593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470er2 2730q2 |
Quadratic twists by: -3 13 |