Atkin-Lehner |
5+ 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
110075h |
Isogeny class |
Conductor |
110075 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
101760 |
Modular degree for the optimal curve |
Δ |
-264290075 = -1 · 52 · 75 · 17 · 37 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- 4 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,95,696] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:24:1] |
Generators of the group modulo torsion |
j |
3792752640/10571603 |
j-invariant |
L |
1.9445152570551 |
L(r)(E,1)/r! |
Ω |
1.2253708570201 |
Real period |
R |
0.31737579741671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999622801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110075i1 |
Quadratic twists by: 5 |