Atkin-Lehner |
3+ 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35175p |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
5237540462109375 = 35 · 58 · 77 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -2 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52950,3119625] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:2295:1] |
Generators of the group modulo torsion |
j |
42031451330185/13408103583 |
j-invariant |
L |
4.0954265510469 |
L(r)(E,1)/r! |
Ω |
0.39752886058514 |
Real period |
R |
3.4340706274071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105525bm1 35175y1 |
Quadratic twists by: -3 5 |