Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600p |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
563975200000000 = 211 · 58 · 893 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 2 -5 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125875,17151250] |
[a1,a2,a3,a4,a6] |
Generators |
[221:356:1] |
Generators of the group modulo torsion |
j |
275709782610/704969 |
j-invariant |
L |
3.3365116937751 |
L(r)(E,1)/r! |
Ω |
0.51944795971265 |
Real period |
R |
0.53526563335008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17800f1 35600l1 |
Quadratic twists by: -4 5 |