Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362j |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1.1186489793756E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 3 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,70614,-160726572] |
[a1,a2,a3,a4,a6] |
Generators |
[15166:651663:8] |
Generators of the group modulo torsion |
j |
43874924183/12604443264 |
j-invariant |
L |
4.852632083142 |
L(r)(E,1)/r! |
Ω |
0.10668577971712 |
Real period |
R |
1.8952198128046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121086bq1 1302i1 |
Quadratic twists by: -3 -31 |