Atkin-Lehner |
5+ 7+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
110075b |
Isogeny class |
Conductor |
110075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-57307796875 = -1 · 56 · 73 · 172 · 37 |
Discriminant |
Eigenvalues |
-2 0 5+ 7+ 1 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1025,-17094] |
[a1,a2,a3,a4,a6] |
Generators |
[76:586:1] |
Generators of the group modulo torsion |
j |
-7622111232/3667699 |
j-invariant |
L |
2.5938322920665 |
L(r)(E,1)/r! |
Ω |
0.41240198395849 |
Real period |
R |
3.1447863748224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4403d1 |
Quadratic twists by: 5 |