Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712t |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1707264 |
Modular degree for the optimal curve |
Δ |
-9.5561556476748E+18 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 1 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32400,148702656] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:10952:1] [680:22016:1] |
Generators of the group modulo torsion |
j |
357911/909312 |
j-invariant |
L |
7.5177163039988 |
L(r)(E,1)/r! |
Ω |
0.18058899480805 |
Real period |
R |
2.6018045534801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8214k1 1776f1 |
Quadratic twists by: -4 37 |