Atkin-Lehner |
3+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38955f |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103488 |
Modular degree for the optimal curve |
Δ |
-1214499450675 = -1 · 3 · 52 · 78 · 532 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 2 -5 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-800,-53467] |
[a1,a2,a3,a4,a6] |
Generators |
[362:241:8] |
Generators of the group modulo torsion |
j |
-9834496/210675 |
j-invariant |
L |
10.156390927785 |
L(r)(E,1)/r! |
Ω |
0.37317541084158 |
Real period |
R |
2.2680109301414 |
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 |
116865m1 38955l1 |
Quadratic twists by: -3 -7 |