Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3610d |
Isogeny class |
Conductor |
3610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103360 |
Modular degree for the optimal curve |
Δ |
-2.6434576202056E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 2 -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,597447,172089948] |
[a1,a2,a3,a4,a6] |
j |
73087061741/81920000 |
j-invariant |
L |
1.1248945774193 |
L(r)(E,1)/r! |
Ω |
0.14061182217741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28880bc1 115520e1 32490bj1 18050o1 |
Quadratic twists by: -4 8 -3 5 |