Atkin-Lehner |
2+ 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760c |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
215728128 |
Modular degree for the optimal curve |
Δ |
-1.3647713185427E+31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 5 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11446698856,-503777890922156] |
[a1,a2,a3,a4,a6] |
j |
-80990584275537381006758718776018/6663922453821792449951171875 |
j-invariant |
L |
3.2541475545241 |
L(r)(E,1)/r! |
Ω |
0.0072637205372086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61880a1 |
Quadratic twists by: -4 |