Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37275g |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-17123203125 = -1 · 32 · 57 · 73 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -5 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,6323] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-79:1] |
Generators of the group modulo torsion |
j |
-24137569/1095885 |
j-invariant |
L |
6.6689090025141 |
L(r)(E,1)/r! |
Ω |
1.0230231301658 |
Real period |
R |
0.81485315505915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111825i1 7455b1 |
Quadratic twists by: -3 5 |