Atkin-Lehner |
3+ 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74175i |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-5118075 = -1 · 32 · 52 · 232 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 -3 -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2,108] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-12:1] [-22:65:8] |
Generators of the group modulo torsion |
j |
20480/204723 |
j-invariant |
L |
5.0584110783727 |
L(r)(E,1)/r! |
Ω |
1.9106911425555 |
Real period |
R |
0.66185619511267 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74175w1 |
Quadratic twists by: 5 |