Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702bt |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-8931113596410179328 = -1 · 28 · 310 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1986935,1088055119] |
[a1,a2,a3,a4,a6] |
j |
-29489309167375/303595776 |
j-invariant |
L |
3.7187938834775 |
L(r)(E,1)/r! |
Ω |
0.23242461771734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616fx1 3234m1 9702bu1 106722ct1 |
Quadratic twists by: -4 -3 -7 -11 |