Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
35400h |
Isogeny class |
Conductor |
35400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
458784000 = 28 · 35 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -1 -3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,-157] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:18:1] [-7:30:1] |
Generators of the group modulo torsion |
j |
24974336/14337 |
j-invariant |
L |
9.2489267877447 |
L(r)(E,1)/r! |
Ω |
1.3904933967205 |
Real period |
R |
0.16628857802486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800i1 106200bn1 35400m1 |
Quadratic twists by: -4 -3 5 |