Atkin-Lehner |
3- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37791g |
Isogeny class |
Conductor |
37791 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1150004580777 = 38 · 134 · 17 · 192 |
Discriminant |
Eigenvalues |
1 3- -2 -4 0 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10863,-430016] |
[a1,a2,a3,a4,a6] |
Generators |
[144:916:1] |
Generators of the group modulo torsion |
j |
194476894355953/1577509713 |
j-invariant |
L |
3.5957913403161 |
L(r)(E,1)/r! |
Ω |
0.4678673053789 |
Real period |
R |
1.9213734850539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12597b1 |
Quadratic twists by: -3 |