Atkin-Lehner |
3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485bm |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-6.3705364861534E+25 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,51128428,-357315573954] |
[a1,a2,a3,a4,a6] |
j |
172343644217341694999/742780064187984375 |
j-invariant |
L |
0.75376323600495 |
L(r)(E,1)/r! |
Ω |
0.031406801500826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495c1 5355j1 |
Quadratic twists by: -3 -7 |