Atkin-Lehner |
3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2535d |
Isogeny class |
Conductor |
2535 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-7414875 = -1 · 33 · 53 · 133 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,35,93] |
[a1,a2,a3,a4,a6] |
Generators |
[9:32:1] |
Generators of the group modulo torsion |
j |
2097152/3375 |
j-invariant |
L |
2.2763014081554 |
L(r)(E,1)/r! |
Ω |
1.6031083428314 |
Real period |
R |
0.23665497701536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40560db1 7605m1 12675bc1 124215cj1 |
Quadratic twists by: -4 -3 5 -7 |