Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488b |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-10385227776 = -1 · 217 · 3 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ 6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,4929] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:48:1] |
Generators of the group modulo torsion |
j |
-98/33 |
j-invariant |
L |
6.2219827847895 |
L(r)(E,1)/r! |
Ω |
1.0442401748143 |
Real period |
R |
1.4895957161866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488he1 12936w1 103488db1 |
Quadratic twists by: -4 8 -7 |