Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008ba |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-22432836608 = -1 · 210 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -3 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14693,690469] |
[a1,a2,a3,a4,a6] |
Generators |
[101:476:1] |
Generators of the group modulo torsion |
j |
-342597941248000/21907067 |
j-invariant |
L |
4.8085174904324 |
L(r)(E,1)/r! |
Ω |
1.1432400001701 |
Real period |
R |
0.23366909795365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008bx1 6188f1 |
Quadratic twists by: -4 8 |