Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702bh |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-5197472267936256 = -1 · 29 · 33 · 710 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16167584,-25017599421] |
[a1,a2,a3,a4,a6] |
Generators |
[6383:359871:1] |
Generators of the group modulo torsion |
j |
-61279455929796531/681472 |
j-invariant |
L |
5.3572818102545 |
L(r)(E,1)/r! |
Ω |
0.037645084759805 |
Real period |
R |
7.9061255708514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616ea1 9702l2 9702bc1 106722be1 |
Quadratic twists by: -4 -3 -7 -11 |