Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702bx |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18306263930724 = 22 · 38 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7286,-120319] |
[a1,a2,a3,a4,a6] |
j |
498677257/213444 |
j-invariant |
L |
2.1484009010574 |
L(r)(E,1)/r! |
Ω |
0.53710022526436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77616gq2 3234n2 1386l2 106722dn2 |
Quadratic twists by: -4 -3 -7 -11 |