Atkin-Lehner |
2+ 3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128a |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
75758011829136 = 24 · 37 · 73 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 4 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90916,-10512803] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:91:1] |
Generators of the group modulo torsion |
j |
5194329150721471744/4734875739321 |
j-invariant |
L |
4.8645348521805 |
L(r)(E,1)/r! |
Ω |
0.27495577332825 |
Real period |
R |
1.769206295724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256bf1 111384bv1 |
Quadratic twists by: -4 -3 |