Atkin-Lehner |
3+ 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745d |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-4540562228640375 = -1 · 39 · 53 · 72 · 172 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -6 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51788,5588542] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-1310:1] |
Generators of the group modulo torsion |
j |
-780390503264763/230684460125 |
j-invariant |
L |
2.3544572217522 |
L(r)(E,1)/r! |
Ω |
0.41247483767565 |
Real period |
R |
1.4270308209928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745g1 |
Quadratic twists by: -3 |