Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702be |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
143121420288 = 212 · 33 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3170,-65439] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:65:1] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
6.6208111981029 |
L(r)(E,1)/r! |
Ω |
0.63787079230167 |
Real period |
R |
0.86496242368728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616dq1 9702i3 198c1 106722p1 |
Quadratic twists by: -4 -3 -7 -11 |