Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904bx |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1141558978019328 = 221 · 37 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101523617,-393696369087] |
[a1,a2,a3,a4,a6] |
Generators |
[-3006980898154900298730627625077016948935:935417170371876117765722406562570596:516930883805588683167604352011920875] |
Generators of the group modulo torsion |
j |
441453577446719855661097/4354701912 |
j-invariant |
L |
5.4429699268172 |
L(r)(E,1)/r! |
Ω |
0.047561745402499 |
Real period |
R |
57.220039768887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904x4 8976y3 107712dw4 |
Quadratic twists by: -4 8 -3 |