Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702bo |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-736191396591501312 = -1 · 216 · 311 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119300,-44193369] |
[a1,a2,a3,a4,a6] |
j |
-44681709625/175177728 |
j-invariant |
L |
3.7540865804242 |
L(r)(E,1)/r! |
Ω |
0.11731520563826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616eg1 3234a1 9702cb1 106722br1 |
Quadratic twists by: -4 -3 -7 -11 |