Atkin-Lehner |
2- 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040m |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-52997933283840000 = -1 · 212 · 36 · 54 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173745,30053025] |
[a1,a2,a3,a4,a6] |
j |
-141613028293992256/12938948555625 |
j-invariant |
L |
2.7738485468763 |
L(r)(E,1)/r! |
Ω |
0.34673106836063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35040q2 70080ce1 105120g2 |
Quadratic twists by: -4 8 -3 |