Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702o |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
861411419406846 = 2 · 36 · 79 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25146,607662] |
[a1,a2,a3,a4,a6] |
Generators |
[1166:627:8] |
Generators of the group modulo torsion |
j |
59776471/29282 |
j-invariant |
L |
3.7856891308611 |
L(r)(E,1)/r! |
Ω |
0.44409617562825 |
Real period |
R |
4.2622401842411 |
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 |
77616gg2 1078m2 9702r2 106722gu2 |
Quadratic twists by: -4 -3 -7 -11 |