Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bh |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-11295244356795 = -1 · 318 · 5 · 73 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 2 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3423,-179132] |
[a1,a2,a3,a4,a6] |
j |
-17738739712/45172485 |
j-invariant |
L |
1.161878762742 |
L(r)(E,1)/r! |
Ω |
0.29046969067265 |
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 |
12495e1 37485bo1 |
Quadratic twists by: -3 -7 |