Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75429h |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-702672560757333 = -1 · 310 · 177 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 -1 0 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22054,187782] |
[a1,a2,a3,a4,a6] |
Generators |
[149:2526:1] [14:699:1] |
Generators of the group modulo torsion |
j |
67419143/39933 |
j-invariant |
L |
5.9004066960487 |
L(r)(E,1)/r! |
Ω |
0.30990002258345 |
Real period |
R |
2.3799638052568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143c1 4437g1 |
Quadratic twists by: -3 17 |