Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702bd |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-668189003328 = -1 · 26 · 33 · 74 · 115 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27131,1727275] |
[a1,a2,a3,a4,a6] |
Generators |
[73:326:1] |
Generators of the group modulo torsion |
j |
-34068278205171/10307264 |
j-invariant |
L |
5.9861719850976 |
L(r)(E,1)/r! |
Ω |
0.88871714989785 |
Real period |
R |
0.11226241453361 |
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 |
77616cu1 9702a1 9702bi1 106722h1 |
Quadratic twists by: -4 -3 -7 -11 |