Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935m |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
119160285256383525 = 33 · 52 · 77 · 118 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18078706923,-935626807637892] |
[a1,a2,a3,a4,a6] |
Generators |
[13565655719972830021155851160267987110273390729317283895958607206:-19489300708828827314918742166376928741858329582178810622276109616831:6548668594449075449423531227873272405941950815287270996552] |
Generators of the group modulo torsion |
j |
3135316978843283198764801/571725 |
j-invariant |
L |
5.2565905887007 |
L(r)(E,1)/r! |
Ω |
0.013019901947205 |
Real period |
R |
100.93375914073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705m5 8085g5 |
Quadratic twists by: -7 -11 |