Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38115v |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
7.6767421892288E+22 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23882882,-42894628576] |
[a1,a2,a3,a4,a6] |
Generators |
[-91590391371592:961172834021168:28962726911] |
Generators of the group modulo torsion |
j |
876440017817099/44659644435 |
j-invariant |
L |
3.2943608271182 |
L(r)(E,1)/r! |
Ω |
0.068509483346201 |
Real period |
R |
24.043100795769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705h1 38115bb1 |
Quadratic twists by: -3 -11 |