Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702ba |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-40899522032861184 = -1 · 215 · 39 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ 2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-291143,-61170497] |
[a1,a2,a3,a4,a6] |
j |
-24052806603/360448 |
j-invariant |
L |
3.0801899681433 |
L(r)(E,1)/r! |
Ω |
0.10267299893811 |
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 |
77616cx1 9702b1 9702bf1 106722e1 |
Quadratic twists by: -4 -3 -7 -11 |