Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702be |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16409510829167148 = 22 · 39 · 76 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64910,-1574639] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:653:1] |
Generators of the group modulo torsion |
j |
13060888875/7086244 |
j-invariant |
L |
6.6208111981029 |
L(r)(E,1)/r! |
Ω |
0.31893539615083 |
Real period |
R |
5.1897745421237 |
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 |
77616dq4 9702i2 198c4 106722p4 |
Quadratic twists by: -4 -3 -7 -11 |