Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165w |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
912 |
Product of Tamagawa factors cp |
deg |
45527040 |
Modular degree for the optimal curve |
Δ |
-4.8264198295332E+28 |
Discriminant |
Eigenvalues |
0 3- 5- -5 2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-245930715,-10673707897069] |
[a1,a2,a3,a4,a6] |
Generators |
[106695:-34317563:1] |
Generators of the group modulo torsion |
j |
-2016578871994468827136/59166826812854296875 |
j-invariant |
L |
5.1099880182739 |
L(r)(E,1)/r! |
Ω |
0.015534831660079 |
Real period |
R |
0.36067703598075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165q1 |
Quadratic twists by: 13 |