Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35040h |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5115840000 = 29 · 3 · 54 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-640,4988] |
[a1,a2,a3,a4,a6] |
Generators |
[7:30:1] |
Generators of the group modulo torsion |
j |
56711623688/9991875 |
j-invariant |
L |
7.9008517002021 |
L(r)(E,1)/r! |
Ω |
1.2986618630824 |
Real period |
R |
3.0419202737844 |
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 |
35040l2 70080b2 105120u2 |
Quadratic twists by: -4 8 -3 |