Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
3525n |
Isogeny class |
Conductor |
3525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2040 |
Modular degree for the optimal curve |
Δ |
-2588671875 = -1 · 3 · 58 · 472 |
Discriminant |
Eigenvalues |
2 3- 5- 1 4 -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,292,1619] |
[a1,a2,a3,a4,a6] |
j |
7024640/6627 |
j-invariant |
L |
5.6729400524498 |
L(r)(E,1)/r! |
Ω |
0.94549000874163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400ca1 10575t1 3525e1 |
Quadratic twists by: -4 -3 5 |