Atkin-Lehner |
3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175bi |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
23909083906640625 = 36 · 58 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73338,-1764333] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:1262:1] [-243:1434:1] |
Generators of the group modulo torsion |
j |
2791844611495129/1530181370025 |
j-invariant |
L |
8.9282272605765 |
L(r)(E,1)/r! |
Ω |
0.31001598690234 |
Real period |
R |
1.1999686627839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985444 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635a2 |
Quadratic twists by: 5 |