Atkin-Lehner |
3+ 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745c |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1779840 |
Modular degree for the optimal curve |
Δ |
-3519296133898096755 = -1 · 33 · 5 · 715 · 172 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-949938,367614159] |
[a1,a2,a3,a4,a6] |
Generators |
[-1107:7913:1] |
Generators of the group modulo torsion |
j |
-3511120469832342208512/130344301255485065 |
j-invariant |
L |
4.3692693859443 |
L(r)(E,1)/r! |
Ω |
0.24840026430892 |
Real period |
R |
2.6384448905718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955609 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101745j2 |
Quadratic twists by: -3 |