Atkin-Lehner |
2+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
75118h |
Isogeny class |
Conductor |
75118 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3927528 |
Modular degree for the optimal curve |
Δ |
1410701888566853632 = 227 · 236 · 71 |
Discriminant |
Eigenvalues |
2+ 3 -2 3 6 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1389253,-627317419] |
[a1,a2,a3,a4,a6] |
Generators |
[-5154850558004085847873112621304494029731:2753698515046141159860916828991351752579:8000963480768378553673148862189921321] |
Generators of the group modulo torsion |
j |
2003092024307193/9529458688 |
j-invariant |
L |
8.7054305363678 |
L(r)(E,1)/r! |
Ω |
0.13910045330972 |
Real period |
R |
62.583768271296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
142e1 |
Quadratic twists by: -23 |