Atkin-Lehner |
3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2475k |
Isogeny class |
Conductor |
2475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-930329296875 = -1 · 39 · 58 · 112 |
Discriminant |
Eigenvalues |
0 3- 5- -1 11- -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5250,-153594] |
[a1,a2,a3,a4,a6] |
j |
-56197120/3267 |
j-invariant |
L |
1.1179637494421 |
L(r)(E,1)/r! |
Ω |
0.27949093736052 |
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 |
39600ei1 825c1 2475i1 121275gi1 |
Quadratic twists by: -4 -3 5 -7 |